Shannon, Emily and Jane had lollipops in the ratio of 12 : 2 : 1. After Shannon gave 14 lollipops to Emily and Jane, the three of them had the same number of lollipops. Find the total number of lollipops the children had.
| |
Shannon |
Emily |
Jane |
Total |
| Before |
12 u |
2 u |
1 u |
15 u |
| Change |
- 14 |
+ 14 |
|
| After |
5 u |
5 u |
5 u |
15 u |
Total number of lollipops
= 12 u + 2 u + 1 u
= 15 u
Number of lollipops that each had in the end
= 15 u ÷ 3
= 5 u
Number of lollipops that Shannon gave to Emily and Jane
= 12 u - 5 u
= 7 u
7 u = 14
1 u = 14 ÷ 7 = 2
Total number of lollipops
= 15 u
= 15 x 2
= 30
Answer(s): 30
