Jane, Jean and Jen had lollipops in the ratio of 7 : 4 : 1. After Jane gave 48 lollipops to Jean and Jen, the three of them had the same number of lollipops. Find the total number of lollipops the children had.
| |
Jane |
Jean |
Jen |
Total |
| Before |
7 u |
4 u |
1 u |
12 u |
| Change |
- 48 |
+ 48 |
|
| After |
4 u |
4 u |
4 u |
12 u |
Total number of lollipops
= 7 u + 4 u + 1 u
= 12 u
Number of lollipops that each had in the end
= 12 u ÷ 3
= 4 u
Number of lollipops that Jane gave to Jean and Jen
= 7 u - 4 u
= 3 u
3 u = 48
1 u = 48 ÷ 3 = 16
Total number of lollipops
= 12 u
= 12 x 16
= 192
Answer(s): 192
