At first, Luis had 15 caramel apples and Henry had 6 times as many caramel apples as Luis. After they each received an equal number of caramel apples from their nephew, Henry had four times as many caramel apples as Luis. How many caramel apples did their nephew give to both of them altogether?
| |
Luis |
Henry |
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
