Elyse, Emma and Xandra had jelly beans in the ratio of 10 : 7 : 1. After Elyse gave 32 jelly beans to Emma and Xandra, the three of them had the same number of jelly beans. Find the total number of jelly beans the children had.
| |
Elyse |
Emma |
Xandra |
Total |
| Before |
10 u |
7 u |
1 u |
18 u |
| Change |
- 32 |
+ 32 |
|
| After |
6 u |
6 u |
6 u |
18 u |
Total number of jelly beans
= 10 u + 7 u + 1 u
= 18 u
Number of jelly beans that each had in the end
= 18 u ÷ 3
= 6 u
Number of jelly beans that Elyse gave to Emma and Xandra
= 10 u - 6 u
= 4 u
4 u = 32
1 u = 32 ÷ 4 = 8
Total number of jelly beans
= 18 u
= 18 x 8
= 144
Answer(s): 144
