Emily, Rachel and Eva had chocolate bars in the ratio of 12 : 2 : 1. After Emily gave 112 chocolate bars to Rachel and Eva, the three of them had the same number of chocolate bars. Find the total number of chocolate bars the children had.
| |
Emily |
Rachel |
Eva |
Total |
| Before |
12 u |
2 u |
1 u |
15 u |
| Change |
- 112 |
+ 112 |
|
| After |
5 u |
5 u |
5 u |
15 u |
Total number of chocolate bars
= 12 u + 2 u + 1 u
= 15 u
Number of chocolate bars that each had in the end
= 15 u ÷ 3
= 5 u
Number of chocolate bars that Emily gave to Rachel and Eva
= 12 u - 5 u
= 7 u
7 u = 112
1 u = 112 ÷ 7 = 16
Total number of chocolate bars
= 15 u
= 15 x 16
= 240
Answer(s): 240
