Box E and Box F have a total of 56 jelly beans. After 4 jelly beans were transferred from Box E to Box F, there were 3 times as many jelly beans in Box E as Box F. How many jelly beans were there in each box in the end?
- Box E
- Box F
|
Box E |
Box F |
Total |
Before |
3 u + 4 |
1 u - 4 |
56 |
Change |
- 4 |
+ 4 |
|
After |
3 u |
1 u |
56 |
(a)
The total number of jelly beans at first and in the end remains the same.
Total number of jelly beans in the end
= 3 u + 1 u
= 4 u
4 u = 56
1 u = 56 ÷ 4 = 14
Number of jelly beans in Box E in the end
= 3 u
= 3 x 14
= 42
(b)
Number of jelly beans in Box F in the end
= 1 u
= 14
Answer(s): (a) 42; (b) 14