Basket K and Basket L have a total of 85 lollipops. After 5 lollipops were transferred from Basket K to Basket L, there were 4 times as many lollipops in Basket K as Basket L. How many lollipops were there in each basket at first?
- Basket K
- Basket L
|
Basket K |
Basket L |
Total |
Before |
4 u + 5 |
1 u - 5 |
85 |
Change |
- 5 |
+ 5 |
|
After |
4 u |
1 u |
85 |
(a)
The total number of lollipops at first and in the end remains the same.
Total number of lollipops in the end
= 4 u + 1 u
= 5 u
5 u = 85
1 u = 85 ÷ 5 = 17
Number of lollipops in Basket K at first
= 4 u + 5
= 4 x 17 + 5
= 68 + 5
= 73
(b)
Number of lollipops in Basket L at first
= 1 u - 5
= 17 - 5
= 12
Answer(s): (a) 73; (b) 12