At first, Carl had 20 caramel apples and Julian had 6 times as many caramel apples as Carl. After they each received an equal number of caramel apples from their father, Julian had thrice as many caramel apples as Carl. How many caramel apples did their father give to both of them altogether?
| |
Carl |
Julian |
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 = 20
1 u = 20 ÷ 2 = 10
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 10
= 60
Answer(s): 60
