Box G and Box H have a total of 65 jelly beans. After 8 jelly beans were transferred from Box G to Box H, there were 4 times as many jelly beans in Box G as Box H. How many jelly beans were there in each box at first?
- Box G
- Box H
|
Box G |
Box H |
Total |
Before |
4 u + 8 |
1 u - 8 |
65 |
Change |
- 8 |
+ 8 |
|
After |
4 u |
1 u |
65 |
(a)
The total number of jelly beans at first and in the end remains the same.
Total number of jelly beans in the end
= 4 u + 1 u
= 5 u
5 u = 65
1 u = 65 ÷ 5 = 13
Number of jelly beans in Box G at first
= 4 u + 8
= 4 x 13 + 8
= 52 + 8
= 60
(b)
Number of jelly beans in Box H at first
= 1 u - 8
= 13 - 8
= 5
Answer(s): (a) 60; (b) 5