Abi, Joelle and Linda had lollipops in the ratio of 12 : 2 : 1. After Abi gave 28 lollipops to Joelle and Linda, the three of them had the same number of lollipops. Find the total number of lollipops the children had.
| |
Abi |
Joelle |
Linda |
Total |
| Before |
12 u |
2 u |
1 u |
15 u |
| Change |
- 28 |
+ 28 |
|
| After |
5 u |
5 u |
5 u |
15 u |
Total number of lollipops
= 12 u + 2 u + 1 u
= 15 u
Number of lollipops that each had in the end
= 15 u ÷ 3
= 5 u
Number of lollipops that Abi gave to Joelle and Linda
= 12 u - 5 u
= 7 u
7 u = 28
1 u = 28 ÷ 7 = 4
Total number of lollipops
= 15 u
= 15 x 4
= 60
Answer(s): 60
