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