Basket X and Basket Y have a total of 70 lollipops. After 2 lollipops were transferred from Basket X to Basket Y, there were 6 times as many lollipops in Basket X as Basket Y. How many lollipops were there in each basket in the end?
- Basket X
- Basket Y
|
Basket X |
Basket Y |
Total |
Before |
6 u + 2 |
1 u - 2 |
70 |
Change |
- 2 |
+ 2 |
|
After |
6 u |
1 u |
70 |
(a)
The total number of lollipops at first and in the end remains the same.
Total number of lollipops in the end
= 6 u + 1 u
= 7 u
7 u = 70
1 u = 70 ÷ 7 = 10
Number of lollipops in Basket X in the end
= 6 u
= 6 x 10
= 60
(b)
Number of lollipops in Basket Y in the end
= 1 u
= 10
Answer(s): (a) 60; (b) 10