Basket W and Basket X have a total of 108 jelly beans. After 7 jelly beans were transferred from Basket W to Basket X, there were 5 times as many jelly beans in Basket W as Basket X. How many jelly beans were there in each basket in the end?
- Basket W
- Basket X
|
Basket W |
Basket X |
Total |
Before |
5 u + 7 |
1 u - 7 |
108 |
Change |
- 7 |
+ 7 |
|
After |
5 u |
1 u |
108 |
(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 = 108
1 u = 108 ÷ 6 = 18
Number of jelly beans in Basket W in the end
= 5 u
= 5 x 18
= 90
(b)
Number of jelly beans in Basket X in the end
= 1 u
= 18
Answer(s): (a) 90; (b) 18