At first, Charlie had 22 caramel apples and Mark had 6 times as many caramel apples as Charlie. After they each received an equal number of caramel apples from their cousin, Mark had thrice as many caramel apples as Charlie. How many caramel apples did their cousin give to both of them altogether?
| |
Charlie |
Mark |
Difference |
| Before |
1x2 =
2 u |
6x2 =
12 u |
5x2 =
10 u |
| Change |
+ 3 u |
+ 3 u |
|
| After |
1x5 =
5 u |
3x5 =
15 u |
2x5 =
10 u |
Since both received an equal number of caramel apples, the difference in the number of caramel apples remains unchanged. LCM of 5 and 2 is 10.
2 u = 22
1 u = 22 ÷ 2 = 11
Number of caramel apples that each received
= 5 u - 2 u
= 3 u
Number of caramel apples that both of them received altogether
= 2 x 3 u
= 6 u
= 6 x 11
= 66
Answer(s): 66
