Basket D and Basket E have a total of 120 jelly beans. After 3 jelly beans were transferred from Basket D to Basket E, there were 5 times as many jelly beans in Basket D as Basket E. How many jelly beans were there in each basket in the end?
- Basket D
- Basket E
|
Basket D |
Basket E |
Total |
Before |
5 u + 3 |
1 u - 3 |
120 |
Change |
- 3 |
+ 3 |
|
After |
5 u |
1 u |
120 |
(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 = 120
1 u = 120 ÷ 6 = 20
Number of jelly beans in Basket D in the end
= 5 u
= 5 x 20
= 100
(b)
Number of jelly beans in Basket E in the end
= 1 u
= 20
Answer(s): (a) 100; (b) 20