Barbara, Xylia and Wendy had lollipops in the ratio of 10 : 7 : 1. After Barbara gave 76 lollipops to Xylia and Wendy, the three of them had the same number of lollipops. Find the total number of lollipops the children had.
| |
Barbara |
Xylia |
Wendy |
Total |
| Before |
10 u |
7 u |
1 u |
18 u |
| Change |
- 76 |
+ 76 |
|
| After |
6 u |
6 u |
6 u |
18 u |
Total number of lollipops
= 10 u + 7 u + 1 u
= 18 u
Number of lollipops that each had in the end
= 18 u ÷ 3
= 6 u
Number of lollipops that Barbara gave to Xylia and Wendy
= 10 u - 6 u
= 4 u
4 u = 76
1 u = 76 ÷ 4 = 19
Total number of lollipops
= 18 u
= 18 x 19
= 342
Answer(s): 342
