Basket E and Basket F have a total of 114 lollipops. After 10 lollipops were transferred from Basket E to Basket F, there were 5 times as many lollipops in Basket E as Basket F. How many lollipops were there in each basket in the end?
- Basket E
- Basket F
|
Basket E |
Basket F |
Total |
Before |
5 u + 10 |
1 u - 10 |
114 |
Change |
- 10 |
+ 10 |
|
After |
5 u |
1 u |
114 |
(a)
The total number of lollipops at first and in the end remains the same.
Total number of lollipops in the end
= 5 u + 1 u
= 6 u
6 u = 114
1 u = 114 ÷ 6 = 19
Number of lollipops in Basket E in the end
= 5 u
= 5 x 19
= 95
(b)
Number of lollipops in Basket F in the end
= 1 u
= 19
Answer(s): (a) 95; (b) 19