Basket W and Basket X have a total of 95 lollipops. After 12 lollipops were transferred from Basket W to Basket X, there were 4 times as many lollipops in Basket W as Basket X. How many lollipops were there in each basket at first?
- Basket W
- Basket X
|
Basket W |
Basket X |
Total |
Before |
4 u + 12 |
1 u - 12 |
95 |
Change |
- 12 |
+ 12 |
|
After |
4 u |
1 u |
95 |
(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 = 95
1 u = 95 ÷ 5 = 19
Number of lollipops in Basket W at first
= 4 u + 12
= 4 x 19 + 12
= 76 + 12
= 88
(b)
Number of lollipops in Basket X at first
= 1 u - 12
= 19 - 12
= 7
Answer(s): (a) 88; (b) 7