At first, Dylan had 15 caramel apples and Billy had 6 times as many caramel apples as Dylan. After they each received an equal number of caramel apples from their niece, Billy had four times as many caramel apples as Dylan. How many caramel apples did their niece give to both of them altogether?
| |
Dylan |
Billy |
Difference |
| Before |
1x3 =
3 u |
6x3 =
18 u |
5x3 =
15 u |
| Change |
+ 2 u |
+ 2 u |
|
| After |
1x5 =
5 u |
4x5 =
20 u |
3x5 =
15 u |
Since both received an equal number of caramel apples, the difference in the number of caramel apples remains unchanged. LCM of 5 and 3 is 15.
3 u = 15
1 u = 15 ÷ 3 = 5
Number of caramel apples that each received
= 5 u - 3 u
= 2 u
Number of caramel apples that both of them received altogether
= 2 x 2 u
= 4 u
= 4 x 5
= 20
Answer(s): 20
