An equal number of jelly beans were distributed to 5 boys and 10 girls. Each boy then gave
45 of her share of jelly beans to the girls. As a result, each girl received 12 more jelly beans.
- How many jelly beans did each boy have left?
- Find the total number of jelly beans each girl had after receiving more jelly beans from the boys.
(a)
Number of jelly beans that the boys gave to the girls
= 10 x 12
= 120
Number of jelly beans that each boy gave to the girls
= 120 ÷ 5
= 24
Number of jelly beans that each boy had at first = 5 u
Number of jelly beans that each boy gave away = 4 u
4 u = 24
1 u = 24 ÷ 4 = 6
Number of jelly beans that each boy left
= 5 u - 4 u
= 1 u
= 6
(b)
Number of jelly beans that each girl had in the end
= 5 u + 12
= 5 x 6 + 12
= 30 + 12
= 42
Answer(s): (a) 6; (b) 42