At first, Cole, Anna and Valen had some caramel apples in the ratio 5 : 3 : 4 respectively. Cole had 360 caramel apples. Then he gave all his caramel apples to Anna and Valen. After receiving the caramel apples from Cole, Anna and Valen had the same number of caramel apples. How many caramel apples did Anna receive from Cole?
|
Cole |
Anna |
Valen |
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 caramel apples remains unchanged. Make the total number of caramel apples the same. LCM of 2 and 12 is 12.
Total number of caramel apples = 12 u
Number of caramel apples that Anna had in the end
= 12 u ÷ 2
= 6 u
Number of caramel apples that Cole had at first = 5 u
5 u = 360
1 u = 360 ÷ 5 = 72
Number of caramel apples that Anna received from Cole
= 6 u - 3 u
= 3 u
= 3 x 72
= 216
Answer(s): 216