At first, Riordan, Winnie and Oliver had some caramel apples in the ratio 7 : 5 : 6 respectively. Riordan had 231 caramel apples. Then he gave all his caramel apples to Winnie and Oliver. After receiving the caramel apples from Riordan, Winnie and Oliver had the same number of caramel apples. How many caramel apples did Winnie receive from Riordan?
|
Riordan |
Winnie |
Oliver |
Total |
Before |
7x1 = 7 u |
5x1 = 5 u |
6x1 = 6 u |
18x1 = 18 u |
Change |
- 7 u |
+ 7 u |
|
After |
0 |
1x9 = 9 u |
1x9 = 9 u |
2x9 = 18 u |
The total number of caramel apples remains unchanged. Make the total number of caramel apples the same. LCM of 2 and 18 is 18.
Total number of caramel apples = 18 u
Number of caramel apples that Winnie had in the end
= 18 u ÷ 2
= 9 u
Number of caramel apples that Riordan had at first = 7 u
7 u = 231
1 u = 231 ÷ 7 = 33
Number of caramel apples that Winnie received from Riordan
= 9 u - 5 u
= 4 u
= 4 x 33
= 132
Answer(s): 132