Yoko, Kathy and Lucy had chocolate bars in the ratio of 8 : 5 : 2. After Yoko gave 51 chocolate bars to Kathy and Lucy, the three of them had the same number of chocolate bars. Find the total number of chocolate bars the children had.
| |
Yoko |
Kathy |
Lucy |
Total |
| Before |
8 u |
5 u |
2 u |
15 u |
| Change |
- 51 |
+ 51 |
|
| After |
5 u |
5 u |
5 u |
15 u |
Total number of chocolate bars
= 8 u + 5 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 Yoko gave to Kathy and Lucy
= 8 u - 5 u
= 3 u
3 u = 51
1 u = 51 ÷ 3 = 17
Total number of chocolate bars
= 15 u
= 15 x 17
= 255
Answer(s): 255
