Basket L and Basket M have a total of 76 lollipops. After 15 lollipops were transferred from Basket L to Basket M, there were 3 times as many lollipops in Basket L as Basket M. How many lollipops were there in each basket at first?
- Basket L
- Basket M
|
Basket L |
Basket M |
Total |
Before |
3 u + 15 |
1 u - 15 |
76 |
Change |
- 15 |
+ 15 |
|
After |
3 u |
1 u |
76 |
(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 = 76
1 u = 76 ÷ 4 = 19
Number of lollipops in Basket L at first
= 3 u + 15
= 3 x 19 + 15
= 57 + 15
= 72
(b)
Number of lollipops in Basket M at first
= 1 u - 15
= 19 - 15
= 4
Answer(s): (a) 72; (b) 4