An equal number of jelly beans were distributed to 5 girls and 7 boys. Each girl then gave
23 of her share of jelly beans to the boys. As a result, each boy received 10 more jelly beans.
- How many jelly beans did each girl have left?
- Find the total number of jelly beans each boy had after receiving more jelly beans from the girls.
(a)
Number of jelly beans that the girls gave to the boys
= 7 x 10
= 70
Number of jelly beans that each girl gave to the boys
= 70 ÷ 5
= 14
Number of jelly beans that each girl had at first = 3 u
Number of jelly beans that each girl gave away = 2 u
2 u = 14
1 u = 14 ÷ 2 = 7
Number of jelly beans that each girl left
= 3 u - 2 u
= 1 u
= 7
(b)
Number of jelly beans that each boy had in the end
= 3 u + 10
= 3 x 7 + 10
= 21 + 10
= 31
Answer(s): (a) 7; (b) 31