Fiona, Jade and Cathy had jelly beans in the ratio of 9 : 2 : 4. After Fiona gave 44 jelly beans to Jade and Cathy, the three of them had the same number of jelly beans. Find the total number of jelly beans the children had.
| |
Fiona |
Jade |
Cathy |
Total |
| Before |
9 u |
2 u |
4 u |
15 u |
| Change |
- 44 |
+ 44 |
|
| After |
5 u |
5 u |
5 u |
15 u |
Total number of jelly beans
= 9 u + 2 u + 4 u
= 15 u
Number of jelly beans that each had in the end
= 15 u ÷ 3
= 5 u
Number of jelly beans that Fiona gave to Jade and Cathy
= 9 u - 5 u
= 4 u
4 u = 44
1 u = 44 ÷ 4 = 11
Total number of jelly beans
= 15 u
= 15 x 11
= 165
Answer(s): 165
