Dana, Raeann and Jen had lollipops in the ratio of 10 : 4 : 1. After Dana gave 75 lollipops to Raeann and Jen, the three of them had the same number of lollipops. Find the total number of lollipops the children had.
| |
Dana |
Raeann |
Jen |
Total |
| Before |
10 u |
4 u |
1 u |
15 u |
| Change |
- 75 |
+ 75 |
|
| After |
5 u |
5 u |
5 u |
15 u |
Total number of lollipops
= 10 u + 4 u + 1 u
= 15 u
Number of lollipops that each had in the end
= 15 u ÷ 3
= 5 u
Number of lollipops that Dana gave to Raeann and Jen
= 10 u - 5 u
= 5 u
5 u = 75
1 u = 75 ÷ 5 = 15
Total number of lollipops
= 15 u
= 15 x 15
= 225
Answer(s): 225
