Question #27312 Algebra Expressions, Equations, and Functions Problem-Solving Models 1 Answer Azimet Jan 21, 2017 #15# one dollar notes, and #5# five dollar ones. Explanation: If #a# the number of $1 notes and #b# the number of $5 notes, then #a = 3b#, since #a# is three times larger than #b#. #a + 5b = 40#, since "#1# times the number of $1 notes plus #5# times the amount of $5 notes should equal the total amount of money, or ($)40". Subtracting the first equation from the second: #5b = 40 - 3b => 8b = 40 => b = 5#. Substituting #b=5# in the first equation, we find #a = 15#. Answer link Related questions What are the steps to solving a word problem? Where do I start when I'm trying to solve a word problem? How do you check a solution to a problem? What are the different strategies used to solve a word problem? What is the best method of determining the cost of downloading 26 movies, if it cost $2.25 to... How do you solve word problems involving percents? What are commonly used math terms that translates to addition, subtraction, multiplication, and division? How much pure antifreeze should be added to 3 gallons of a 30 percent antifreeze solution to get... How would you use equations to calculate the age of Al given that Al's father is 45 and he is 15... How do you solve #x=(y-1)/(y+1)# for y? See all questions in Problem-Solving Models Impact of this question 1861 views around the world You can reuse this answer Creative Commons License