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
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.
Each boy is given 10 sweets
Explanation:
Total count of sweets
Total count of boys
Express as a ration in the form
Need the count of sweets for 1 boy
So each boy is given 10 sweets