Basket V and Basket W have a total of 48 jelly beans. After 2 jelly beans were transferred from Basket V to Basket W, there were 3 times as many jelly beans in Basket V as Basket W. How many jelly beans were there in each basket in the end?
- Basket V
- Basket W
|
Basket V |
Basket W |
Total |
Before |
3 u + 2 |
1 u - 2 |
48 |
Change |
- 2 |
+ 2 |
|
After |
3 u |
1 u |
48 |
(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 = 48
1 u = 48 ÷ 4 = 12
Number of jelly beans in Basket V in the end
= 3 u
= 3 x 12
= 36
(b)
Number of jelly beans in Basket W in the end
= 1 u
= 12
Answer(s): (a) 36; (b) 12