Tiffany, Eva and Joelle had lollipops in the ratio of 9 : 2 : 4. After Tiffany gave 12 lollipops to Eva and Joelle, the three of them had the same number of lollipops. Find the total number of lollipops the children had.
| |
Tiffany |
Eva |
Joelle |
Total |
| Before |
9 u |
2 u |
4 u |
15 u |
| Change |
- 12 |
+ 12 |
|
| After |
5 u |
5 u |
5 u |
15 u |
Total number of lollipops
= 9 u + 2 u + 4 u
= 15 u
Number of lollipops that each had in the end
= 15 u ÷ 3
= 5 u
Number of lollipops that Tiffany gave to Eva and Joelle
= 9 u - 5 u
= 4 u
4 u = 12
1 u = 12 ÷ 4 = 3
Total number of lollipops
= 15 u
= 15 x 3
= 45
Answer(s): 45
