Julie, Rachel and Gillian had chocolate bars in the ratio of 12 : 5 : 4. After Julie gave 40 chocolate bars to Rachel and Gillian, the three of them had the same number of chocolate bars. Find the total number of chocolate bars the children had.
| |
Julie |
Rachel |
Gillian |
Total |
| Before |
12 u |
5 u |
4 u |
21 u |
| Change |
- 40 |
+ 40 |
|
| After |
7 u |
7 u |
7 u |
21 u |
Total number of chocolate bars
= 12 u + 5 u + 4 u
= 21 u
Number of chocolate bars that each had in the end
= 21 u ÷ 3
= 7 u
Number of chocolate bars that Julie gave to Rachel and Gillian
= 12 u - 7 u
= 5 u
5 u = 40
1 u = 40 ÷ 5 = 8
Total number of chocolate bars
= 21 u
= 21 x 8
= 168
Answer(s): 168
