Xylia, Kimberly and Lucy had chocolate bars in the ratio of 9 : 2 : 1. After Xylia gave 65 chocolate bars to Kimberly and Lucy, the three of them had the same number of chocolate bars. Find the total number of chocolate bars the children had.
| |
Xylia |
Kimberly |
Lucy |
Total |
| Before |
9 u |
2 u |
1 u |
12 u |
| Change |
- 65 |
+ 65 |
|
| After |
4 u |
4 u |
4 u |
12 u |
Total number of chocolate bars
= 9 u + 2 u + 1 u
= 12 u
Number of chocolate bars that each had in the end
= 12 u ÷ 3
= 4 u
Number of chocolate bars that Xylia gave to Kimberly and Lucy
= 9 u - 4 u
= 5 u
5 u = 65
1 u = 65 ÷ 5 = 13
Total number of chocolate bars
= 12 u
= 12 x 13
= 156
Answer(s): 156
