Basket F and Basket G have a total of 76 lollipops. After 6 lollipops were transferred from Basket F to Basket G, there were 3 times as many lollipops in Basket F as Basket G. How many lollipops were there in each basket at first?
- Basket F
- Basket G
|
Basket F |
Basket G |
Total |
Before |
3 u + 6 |
1 u - 6 |
76 |
Change |
- 6 |
+ 6 |
|
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 F at first
= 3 u + 6
= 3 x 19 + 6
= 57 + 6
= 63
(b)
Number of lollipops in Basket G at first
= 1 u - 6
= 19 - 6
= 13
Answer(s): (a) 63; (b) 13