At first, Wesley, Victoria and Oscar had some chocolate bars in the ratio 5 : 3 : 4 respectively. Wesley had 245 chocolate bars. Then he gave all his chocolate bars to Victoria and Oscar. After receiving the chocolate bars from Wesley, Victoria and Oscar had the same number of chocolate bars. How many chocolate bars did Victoria receive from Wesley?
|
Wesley |
Victoria |
Oscar |
Total |
Before |
5x1 = 5 u |
3x1 = 3 u |
4x1 = 4 u |
12x1 = 12 u |
Change |
- 5 u |
+ 5 u |
|
After |
0 |
1x6 = 6 u |
1x6 = 6 u |
2x6 = 12 u |
The total number of chocolate bars remains unchanged. Make the total number of chocolate bars the same. LCM of 2 and 12 is 12.
Total number of chocolate bars = 12 u
Number of chocolate bars that Victoria had in the end
= 12 u ÷ 2
= 6 u
Number of chocolate bars that Wesley had at first = 5 u
5 u = 245
1 u = 245 ÷ 5 = 49
Number of chocolate bars that Victoria received from Wesley
= 6 u - 3 u
= 3 u
= 3 x 49
= 147
Answer(s): 147