Jane, Xylia and Gem had lollipops in the ratio of 11 : 4 : 3. After Jane gave 100 lollipops to Xylia and Gem, the three of them had the same number of lollipops. Find the total number of lollipops the children had.
| |
Jane |
Xylia |
Gem |
Total |
| Before |
11 u |
4 u |
3 u |
18 u |
| Change |
- 100 |
+ 100 |
|
| After |
6 u |
6 u |
6 u |
18 u |
Total number of lollipops
= 11 u + 4 u + 3 u
= 18 u
Number of lollipops that each had in the end
= 18 u ÷ 3
= 6 u
Number of lollipops that Jane gave to Xylia and Gem
= 11 u - 6 u
= 5 u
5 u = 100
1 u = 100 ÷ 5 = 20
Total number of lollipops
= 18 u
= 18 x 20
= 360
Answer(s): 360
