Box X and Box Y have a total of 133 jelly beans. After 8 jelly beans were transferred from Box X to Box Y, there were 6 times as many jelly beans in Box X as Box Y. How many jelly beans were there in each box at first?
- Box X
- Box Y
|
Box X |
Box Y |
Total |
Before |
6 u + 8 |
1 u - 8 |
133 |
Change |
- 8 |
+ 8 |
|
After |
6 u |
1 u |
133 |
(a)
The total number of jelly beans at first and in the end remains the same.
Total number of jelly beans in the end
= 6 u + 1 u
= 7 u
7 u = 133
1 u = 133 ÷ 7 = 19
Number of jelly beans in Box X at first
= 6 u + 8
= 6 x 19 + 8
= 114 + 8
= 122
(b)
Number of jelly beans in Box Y at first
= 1 u - 8
= 19 - 8
= 11
Answer(s): (a) 122; (b) 11