Shannon, Min and Xandra had lollipops in the ratio of 11 : 6 : 4. After Shannon gave 12 lollipops to Min and Xandra, the three of them had the same number of lollipops. Find the total number of lollipops the children had.
| |
Shannon |
Min |
Xandra |
Total |
| Before |
11 u |
6 u |
4 u |
21 u |
| Change |
- 12 |
+ 12 |
|
| After |
7 u |
7 u |
7 u |
21 u |
Total number of lollipops
= 11 u + 6 u + 4 u
= 21 u
Number of lollipops that each had in the end
= 21 u ÷ 3
= 7 u
Number of lollipops that Shannon gave to Min and Xandra
= 11 u - 7 u
= 4 u
4 u = 12
1 u = 12 ÷ 4 = 3
Total number of lollipops
= 21 u
= 21 x 3
= 63
Answer(s): 63
