Ratios and Proportions Prealgebra Ratios, Proportions, Units and Rates Ratios and Proportions Questions A baker is going to make 24 blueberry pies. She wants to make sure each pie contains 3.5 cups of blueberries. How many cups of blueberries will she need? You can get 12 color prints for $5.76. How much is this per print? A farmer gives each of his horses #1/2# of a salt lick a month. If he has 2 horses, how many salt licks does he use a month? One afternoon, Dave cast a 5-foot shadow. At the same time, his house cast a 20-foot shadow. If Dave is 5 feet 9 inches tall, how tall is his house? How do you simplify ratios? How is ratio used in everyday life? Do 9/24 and 15/40 form a proportion? Do 20/32 and 12/20 form a proportion? What are 3 equivalent ratios for 12 to 9? Three numbers are in the ratio of 3:5:7. If their sum is 840, what are the 3 numbers? How are ratios different from fractions? How are ratios similar to fractions? Allison had $55. She spent #3/5# of it and then saved the rest. How much money did Allison save? In a right-angled triangle the sum of the minor cathetus and the hypotenuse is #104cm#. The minor cathetus is #3/5# of hypotenuse. Calculate the perimeter and area of the triangle? The sum of eight consecutive (one after the other) numbers is 88. What are the numbers? What is x in the following ration equation # => x:(23/42 +x)=8/25 : 14/15#? The sum of the altitude and the base radius of a cylinder is #63 cm#. The radius is #4/5# as long as the altitude. Calculate the surface area volume of the cylinder? Leisurely swimming burns around 350 calories an hour. About how many minutes will it take to burn 150 calories through leisurely swimming? How do you calculate the percent change of 63 to 105? The ratio of my blue pens to my black pens is #7:2#; I add four more black pens to my collection. How many blue pens must I add to maintain the same ratio of blue to black? If street lights are placed at most 132 feet apart, how many street lights will be needed for a street that is 4 miles long, assuming that there are lights at each side of the street? The average of 5 numbers is 6. The average of 3 of them is 8. What is the average of the remaining two? 1 mL = 32 drops from a dropper. If a 15 mL container holds 60 equal doses of medicine, how many drops are in a dose? There are 15 plums and 9 apples in a fruit bowl. What is the ratio of apples to plums? How do you simplify #3/(5y) + 1/(5y)#? Question #69fa4 Three apples cost #37# cents. What would be the price of #1 3/4# dozen apples - A. #444# cents; B. #148# cents; C. #259# cents and D. #297# cents? Question #0fd76 Question #8f52b A motion was passed by a vote of #5:3#. What fractions of total votes were polled in favor of the motion? A man spends #10#% of his rupees, then #60#% of the remaining rupees. Given that he has #"Rs."72# left, how many rupees did he start with? If #7# apples cost #y# cents, how many can you buy for #x# dollars? Question #432c3 What is 4/8 equivalent to? A & B share the cost in a ratio of 7:2. A pays £126, how much does B pay? When surveyed, 5 out of every 8 students liked the food in the cafeteria. If 60 liked the food, how many were surveyed? One cup of popcorn kernels make four cups of popped corn. There are six cups of kernels in a bag. How many cups of popped corn will one bag make? Long lengths of rope need to be cut in the ratio 6:2:1. How long is the longest piece of rope from a 54 m length of rope? How do you simplify #24 : 36#? How do you simplify #30:75#? In Mr. Xang's French class, there are thirty-eight male students and forty-two female students. How do you express a ratio of female students to male students in simplest form? The Community Council is replanting six flower boxes downtown. Each flower box holds 32 petunias. If petunias come in packs of 8, how many packs will be needed? Erica had #3 1/2# yards of fabric and she used #2/3# of the piece. How much fabric she is now left with? Mrs Chen bought some eggs. She used 1/2 of them to make tarts and 1/4 of the remainder to make a cake. She had 9 eggs left. How many eggs did she buy? Annie want to buy a toy, but she has no money? If she saves for 3 weeks she will be $1 short of what it cost to buy the toy, if she saves for 4 weeks she will be $3 above the toy cost. How much is Annie saving every week? what is the cost of the toy? Carly had some chocolates. She gave 178 chocolates to her neighbour and 2/5 of the remainder to her daughter. With the remaining chocolates, she gave 1/3 of the chocolates to her son and then had 256 chocolates left. How many chocolates had she at first? Jack’s height is #2/3# of Leslie’s height. Leslie’s height is #3/4# of Lindsay’s height. If Lindsay is 160 cm tall, find Jack’s height and Leslie’s height? Maya has a piece of ribbon. She cuts the ribbon into 4 equal parts. Each part is then cut into 3 smaller equal parts. If the length of each small part is 35 cm, how long is the piece of ribbon? Kelly has 4x as much money as Joey. After Kelly uses some money to buy a racquet, and Joey uses $30 to buy shorts, Kelly has twice as much money as Joey. If Joey started with $98, how much money does Kelly have? what does the racquet cost? Datan asks you "Hey Yosief, I have a question for you, if I gives 4 chocolate bars to each child at my party, I will have 38 left. If I give 7 chocolate bars each, I will have 2 chocolate bars left. How many children were there at my birthday party?" The cost of 6 identical chairs, 5 identical lamps and 1 table is $505. The cost of 2 such chairs and 1 table is $228, while 1 chair and 1 lamp cost $63. What is the total cost of 1 chair and 1 table? What is the total cost of 1 table, 1 lamp and 1 chair? Maya has 2x as many white beads as black beads. After using 40 white and 5 black to make a necklace she has 3x as many black beads as white. How many black beads she started with? A bottle of root beer contains 4/5 of a liter. How much root beer is in 3 bottles? A restaurant had #3# pies, cut into eighths. By noon, #3/4# of all the pieces were sold. How many pieces of pie were sold by noon? You burn 10 calories each minute you jog. What integers represents the change in your calories after you jog for 20 minutes? How do you solve #5/4=10/x#? Emily has $1.24. Joey has $5.36. Maria has $2.42. Do they have enough money to purchase a CD for $9.00? Julie bought 32 kiwi fruit for $16. How many kiwi can Lisa buy if she has $5? Sara has #4 3/4# yards of red fleece and #2 2/3# yards of blue fleece fabric. How many yards of red and blue fleece fabric does she have altogether? A submarine begins its descent from the surface of the water. It dives 20 meters each minute for several minutes. If the submarine reaches a depth of 360 meters below sea level, how much time did the dive take? Lupe's heart beats 288 times in 4 minutes. How do you write an equation to represent the number of times her heart beats per minute? What are equivalent ratios 7 to 10? What are equivalent ratios 5 to 3? What are the equivalent ratios 4 to 9? How do you simplify each ratio: 50:30? How do you solve #13= \frac { a } { - 2}#? Jasmine buys 2.25 kg of apples for $11.25. How much does 1 kg of apples cost? You are running #1/10# mile sprints in gym class this week. How many miles will you run if you complete 3 sprints? Arnold can do 65 pushups in 5 minutes. How many pushups can he do in 1 minute? Question #41dab A pail, when holding 40 washers, weighs 500 grams. The same pail holding 20 washers weighs 420 grams. How much does the pail weigh? How do you find the ratio in simplest form: 30 minutes to 2 hours? What is the ratio of 480 g to 4.38 kg? A certain paint is to be mixed with 3 parts yellow to 2 parts blue. What is the ratio of yellow paint to the total amount of mixed paint? What is the ratio of 5 hours to 14 hours 10 minutes? What is the ratio of 80 m to 0.86 km? What Ratio is equivalent to 30/45? How do you know if the ratios 4/2 and 20/6 forms a proportion? The areas of the two watch faces have a ratio of 16:25. What is the ratio of the radius of the smaller watch face to the radius of the larger watch face? What is the radius of the larger watch face? How do you divide 84 kg in a ratio of 1:2:3? How do you divide $95 in a ratio of 2:3? How do you write Four meters to 150 centimeters ratio? How do you write three equivalent ratios for 18/6? A group of friends went out for dinner. 19 of the diners ordered vegetarian food and 14 ordered non-vegetarian food. What is the ratio of number of vegetarian meals to the number of non-vegetarian meal? 15 boys and 16 girls took part in the basketball competition. What is the ratio of the number of girls to the number of boys competition? Kelly's company is painting a building a unique shade of purple. She needs 12 pints of red paint for every 8 pints of blue paint. Using that ratio, if she uses 65 pints of paint how much blue paint is needed? Elise walked a total of 18 kilometers by making 9 trips to school. After 10 trips to school, how many kilometers will Elise have walked in total? Question #a3797 #2.2# pounds of ground turkey costs #$7.59#. What is the price per pound? How do you simplify the ratio 35 to 55? What are the means of the following proportion #3/15=12/60#? Which ratio forms a proportion with 16/20? How do you simplify the ratio. 28.8 to 44.8? How do you simplify the ratio: 21 to 33? How do you find fractional notation for the ratio of 383 to 216? How do you find the fractional notation for the ratio of 490 to 413? Owen makes $3,000 per month. He spends $300 on credit card payments and $350 on an auto loan. What is his debt- to-income ratio? How do you determine whether the ratios are equivalent: 3/4 and 6/7? How do you determine whether the ratios are equivalent: 12/5 and 36/15? Tulane has a ratio of 3 girls to 4 boys in class. If there are 12 girls in class how many total students are there? NYU has a ratio of 3 girls to 2 boys in class. If there are 12 boys in class, how many girls are there? How do you write the ratios #1/2:1/5# in simplest form? There are 24 markers in 2 boxes of markers. Which of the following expresses the ratio of markers to boxes? There are 48 stickers in 2 sheets of stickers. Which expresses the ratio of stickers to sheets? There are 54 students and 18 computers in a classroom. Which ratio accurately compares the number of students to the number of computers? What ratio 15/45 expressed in simplest form? How do you simplify the ratio #524:100#? On a map the distance between Atlanta, Georgia, and Nashville, Tennessee, is 12.5 in. The actual distance between these two cities is 250 miles. What is the scale? Question #d004b If the ratio of boys to girls is 3:2 and there are 25 students in a class, how do you make equal ratios to show how many students in the class are boys and how many are girls? The first bell rings every 20 minutes, second bell rings every 30 minutes, and the third bell rings every 50 minutes. If all three bells ring the same time at 12:00pm, when will be the next time the three bells will ring together? What must #n# be if the ratio 6:7 is equivalent to 36:#n#? Makayla takes home $4400 per month from her job as a physical therapist. If her only debt obligations are a car loan payment of $530 and a mortgage payment of $760 every month, is she in danger of credit overload? Question #af5c5 If two pounds of almonds costs $8.20 and 5 pounds cost $19.75, is the cost of almonds proportional to the weight? Question #02241 Question #546fd Roger is planning a picnic, He will invite two times as many boys as girls. If he invites 18 people, how many boys and how many girls will get invitations? Question #cf110 How many years are there in 1.4 billion seconds? If x and y are in the ratio 3 to 4, and y and z are in the ratio 3 to 4 then what is the ratio of x to z? What is the ratio between #1 1/4# hours and #25# minutes? Question #49590 How much #40%# solution and #70%# solution does a scientist need to get #30# liters of #60%# solution? Question #6afd9 The ratio of two people's weight remains the same, whether measured in pounds or kilograms? ( 1kg = 2.2lb ) Q: On a hospital ward, there are 16 nurses and 68 patients. a. Write the nurse : patient ratio in the form on 1:n Another ward has 18 nurses and 81 patients. b. Which hospital has the best nurse:patient ratio? Explain your answer. A car moving at a constant speed travels 88 feet in 2 seconds. Use a proportion to find how many feet it travels in one minute? Alexis is making cookies. The recipe says that she has to mix 192 grams of sugar into the flour .Alexis knows that 1 cup of this particular sugar has a mass of 128 grams.How many cups does she needs ? Ratios, Proportions, Units and Rates View all chapters Ratios and Proportions Rates Unit Conversions Metric System Unit Conversion Next