Nicole, Xylia and Zoe had lollipops in the ratio of 11 : 5 : 2. After Nicole gave 50 lollipops to Xylia and Zoe, the three of them had the same number of lollipops. Find the total number of lollipops the children had.
| |
Nicole |
Xylia |
Zoe |
Total |
| Before |
11 u |
5 u |
2 u |
18 u |
| Change |
- 50 |
+ 50 |
|
| After |
6 u |
6 u |
6 u |
18 u |
Total number of lollipops
= 11 u + 5 u + 2 u
= 18 u
Number of lollipops that each had in the end
= 18 u ÷ 3
= 6 u
Number of lollipops that Nicole gave to Xylia and Zoe
= 11 u - 6 u
= 5 u
5 u = 50
1 u = 50 ÷ 5 = 10
Total number of lollipops
= 18 u
= 18 x 10
= 180
Answer(s): 180
