Gem, Fiona and Xandra had lollipops in the ratio of 8 : 3 : 4. After Gem gave 6 lollipops to Fiona and Xandra, the three of them had the same number of lollipops. Find the total number of lollipops the children had.
| |
Gem |
Fiona |
Xandra |
Total |
| Before |
8 u |
3 u |
4 u |
15 u |
| Change |
- 6 |
+ 6 |
|
| After |
5 u |
5 u |
5 u |
15 u |
Total number of lollipops
= 8 u + 3 u + 4 u
= 15 u
Number of lollipops that each had in the end
= 15 u ÷ 3
= 5 u
Number of lollipops that Gem gave to Fiona and Xandra
= 8 u - 5 u
= 3 u
3 u = 6
1 u = 6 ÷ 3 = 2
Total number of lollipops
= 15 u
= 15 x 2
= 30
Answer(s): 30
