Basket Y and Basket Z have a total of 60 lollipops. After 13 lollipops were transferred from Basket Y to Basket Z, there were 3 times as many lollipops in Basket Y as Basket Z. How many lollipops were there in each basket in the end?
- Basket Y
- Basket Z
|
Basket Y |
Basket Z |
Total |
Before |
3 u + 13 |
1 u - 13 |
60 |
Change |
- 13 |
+ 13 |
|
After |
3 u |
1 u |
60 |
(a)
The total number of lollipops at first and in the end remains the same.
Total number of lollipops in the end
= 3 u + 1 u
= 4 u
4 u = 60
1 u = 60 ÷ 4 = 15
Number of lollipops in Basket Y in the end
= 3 u
= 3 x 15
= 45
(b)
Number of lollipops in Basket Z in the end
= 1 u
= 15
Answer(s): (a) 45; (b) 15