Emma, Tiffany and Jen had lollipops in the ratio of 11 : 9 : 1. After Emma gave 24 lollipops to Tiffany and Jen, the three of them had the same number of lollipops. Find the total number of lollipops the children had.
| |
Emma |
Tiffany |
Jen |
Total |
| Before |
11 u |
9 u |
1 u |
21 u |
| Change |
- 24 |
+ 24 |
|
| After |
7 u |
7 u |
7 u |
21 u |
Total number of lollipops
= 11 u + 9 u + 1 u
= 21 u
Number of lollipops that each had in the end
= 21 u ÷ 3
= 7 u
Number of lollipops that Emma gave to Tiffany and Jen
= 11 u - 7 u
= 4 u
4 u = 24
1 u = 24 ÷ 4 = 6
Total number of lollipops
= 21 u
= 21 x 6
= 126
Answer(s): 126
