Mrs. Low has 12 bags, each containing 25 sweets. She divides the sweets among 30 boys equally. How many sweets does each boy get?

2 Answers
Sep 10, 2016

10 sweets each

Explanation:

The first step is to calculate the #color(blue)"total number of sweets"#

This is done by #color(blue)"multiplying 12 times 25"#

This can be performed by hand or by using a calculator ( if allowed ). If not we can reduce either 12 or 25 into more 'manageable' numbers.

25 = 10 + 10 + 5 and the multiplication can be done as follows.

#12xx25=(color(red)(10)xx12)+(color(red)(10)xx12)+(color(red)(5)xx12)#

#=120+120+60=300" sweets"#

#color(magenta)("OR"#

12 = 10 + 2 and using these values to multiply.

#12xx25=(color(red)(10)xx25)+(color(red)(2)xx25)=250+50=300#

The 300 sweets are being #color(blue)"shared"# between 30 boys.

To calculate how much each boy gets we use #color(blue)"division"#

That is 300 ÷ 30 or #300/30#

Simplify each number by #color(blue)"cancelling by 10"#

#300/30=(30cancel(0))/(3cancel(0))=10#

Hence each of the 30 boys receives 10 sweets.

Sep 18, 2016

Each boy is given 10 sweets

Explanation:

Total count of sweets#->12xx25 = 300#

Total count of boys #->30#

Express as a ration in the form #("sweets")/("boys") -> 300/30#

Need the count of sweets for 1 boy

#("sweets")/("boys") -> 300/30 -=(300-:30)/(30-:30) = 10/1#

So each boy is given 10 sweets