Basket T and Basket U have a total of 54 jelly beans. After 2 jelly beans were transferred from Basket T to Basket U, there were 5 times as many jelly beans in Basket T as Basket U. How many jelly beans were there in each basket at first?
- Basket T
- Basket U
|
Basket T |
Basket U |
Total |
Before |
5 u + 2 |
1 u - 2 |
54 |
Change |
- 2 |
+ 2 |
|
After |
5 u |
1 u |
54 |
(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 = 54
1 u = 54 ÷ 6 = 9
Number of jelly beans in Basket T at first
= 5 u + 2
= 5 x 9 + 2
= 45 + 2
= 47
(b)
Number of jelly beans in Basket U at first
= 1 u - 2
= 9 - 2
= 7
Answer(s): (a) 47; (b) 7