Box X and Box Y have a total of 66 jelly beans. After 6 jelly beans were transferred from Box X to Box Y, there were 5 times as many jelly beans in Box X as Box Y. How many jelly beans were there in each box in the end?
- Box X
- Box Y
|
Box X |
Box Y |
Total |
Before |
5 u + 6 |
1 u - 6 |
66 |
Change |
- 6 |
+ 6 |
|
After |
5 u |
1 u |
66 |
(a)
The total number of jelly beans at first and in the end remains the same.
Total number of jelly beans in the end
= 5 u + 1 u
= 6 u
6 u = 66
1 u = 66 ÷ 6 = 11
Number of jelly beans in Box X in the end
= 5 u
= 5 x 11
= 55
(b)
Number of jelly beans in Box Y in the end
= 1 u
= 11
Answer(s): (a) 55; (b) 11