Sarah, Marion and Kathy had chocolate bars in the ratio of 9 : 2 : 1. After Sarah gave 100 chocolate bars to Marion and Kathy, the three of them had the same number of chocolate bars. Find the total number of chocolate bars the children had.
| |
Sarah |
Marion |
Kathy |
Total |
| Before |
9 u |
2 u |
1 u |
12 u |
| Change |
- 100 |
+ 100 |
|
| 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 Sarah gave to Marion and Kathy
= 9 u - 4 u
= 5 u
5 u = 100
1 u = 100 ÷ 5 = 20
Total number of chocolate bars
= 12 u
= 12 x 20
= 240
Answer(s): 240
