Irene, Gwen and Emily had chocolate bars in the ratio of 9 : 4 : 2. After Irene gave 48 chocolate bars to Gwen and Emily, the three of them had the same number of chocolate bars. Find the total number of chocolate bars the children had.
| |
Irene |
Gwen |
Emily |
Total |
| Before |
9 u |
4 u |
2 u |
15 u |
| Change |
- 48 |
+ 48 |
|
| After |
5 u |
5 u |
5 u |
15 u |
Total number of chocolate bars
= 9 u + 4 u + 2 u
= 15 u
Number of chocolate bars that each had in the end
= 15 u ÷ 3
= 5 u
Number of chocolate bars that Irene gave to Gwen and Emily
= 9 u - 5 u
= 4 u
4 u = 48
1 u = 48 ÷ 4 = 12
Total number of chocolate bars
= 15 u
= 15 x 12
= 180
Answer(s): 180
