At first, Vincent had 16 caramel apples and Reggie had 6 times as many caramel apples as Vincent. After they each received an equal number of caramel apples from their father, Reggie had thrice as many caramel apples as Vincent. How many caramel apples did their father give to both of them altogether?
| |
Vincent |
Reggie |
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 = 16
1 u = 16 ÷ 2 = 8
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 8
= 48
Answer(s): 48
