Betty, Elyse and Vanessa had chocolate bars in the ratio of 8 : 6 : 1. After Betty gave 57 chocolate bars to Elyse and Vanessa, the three of them had the same number of chocolate bars. Find the total number of chocolate bars the children had.
| |
Betty |
Elyse |
Vanessa |
Total |
| Before |
8 u |
6 u |
1 u |
15 u |
| Change |
- 57 |
+ 57 |
|
| After |
5 u |
5 u |
5 u |
15 u |
Total number of chocolate bars
= 8 u + 6 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 Betty gave to Elyse and Vanessa
= 8 u - 5 u
= 3 u
3 u = 57
1 u = 57 ÷ 3 = 19
Total number of chocolate bars
= 15 u
= 15 x 19
= 285
Answer(s): 285
