Raeann, Barbara and Kathy had lollipops in the ratio of 8 : 4 : 3. After Raeann gave 60 lollipops to Barbara and Kathy, the three of them had the same number of lollipops. Find the total number of lollipops the children had.
| |
Raeann |
Barbara |
Kathy |
Total |
| Before |
8 u |
4 u |
3 u |
15 u |
| Change |
- 60 |
+ 60 |
|
| After |
5 u |
5 u |
5 u |
15 u |
Total number of lollipops
= 8 u + 4 u + 3 u
= 15 u
Number of lollipops that each had in the end
= 15 u ÷ 3
= 5 u
Number of lollipops that Raeann gave to Barbara and Kathy
= 8 u - 5 u
= 3 u
3 u = 60
1 u = 60 ÷ 3 = 20
Total number of lollipops
= 15 u
= 15 x 20
= 300
Answer(s): 300
