Gillian, Esther and Tiffany had lollipops in the ratio of 8 : 3 : 1. After Gillian gave 20 lollipops to Esther and Tiffany, the three of them had the same number of lollipops. Find the total number of lollipops the children had.
| |
Gillian |
Esther |
Tiffany |
Total |
| Before |
8 u |
3 u |
1 u |
12 u |
| Change |
- 20 |
+ 20 |
|
| After |
4 u |
4 u |
4 u |
12 u |
Total number of lollipops
= 8 u + 3 u + 1 u
= 12 u
Number of lollipops that each had in the end
= 12 u ÷ 3
= 4 u
Number of lollipops that Gillian gave to Esther and Tiffany
= 8 u - 4 u
= 4 u
4 u = 20
1 u = 20 ÷ 4 = 5
Total number of lollipops
= 12 u
= 12 x 5
= 60
Answer(s): 60
