At first, Perry had 18 caramel apples and Asher had 5 times as many caramel apples as Perry. After they each received an equal number of caramel apples from their friend, Asher had four times as many caramel apples as Perry. How many caramel apples did their friend give to both of them altogether?
| |
Perry |
Asher |
Difference |
| Before |
1x3 =
3 u |
5x3 =
15 u |
4x3 =
12 u |
| Change |
+ 1 u |
+ 1 u |
|
| After |
1x4 =
4 u |
4x4 =
16 u |
3x4 =
12 u |
Since both received an equal number of caramel apples, the difference in the number of caramel apples remains unchanged. LCM of 4 and 3 is 12.
3 u = 18
1 u = 18 ÷ 3 = 6
Number of caramel apples that each received
= 4 u - 3 u
= 1 u
Number of caramel apples that both of them received altogether
= 2 x 1 u
= 2 u
= 2 x 6
= 12
Answer(s): 12
