Basket Q and Basket R have a total of 48 jelly beans. After 2 jelly beans were transferred from Basket Q to Basket R, there were 3 times as many jelly beans in Basket Q as Basket R. How many jelly beans were there in each basket at first?
- Basket Q
- Basket R
|
Basket Q |
Basket R |
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 Q at first
= 3 u + 2
= 3 x 12 + 2
= 36 + 2
= 38
(b)
Number of jelly beans in Basket R at first
= 1 u - 2
= 12 - 2
= 10
Answer(s): (a) 38; (b) 10