At first, Luis had 24 candy canes and Dylan had 6 times as many candy canes as Luis. After they each received an equal number of candy canes from their niece, Dylan had four times as many candy canes as Luis. How many candy canes did their niece give to both of them altogether?
| |
Luis |
Dylan |
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 candy canes, the difference in the number of candy canes remains unchanged. LCM of 5 and 3 is 15.
3 u = 24
1 u = 24 ÷ 3 = 8
Number of candy canes that each received
= 5 u - 3 u
= 2 u
Number of candy canes that both of them received altogether
= 2 x 2 u
= 4 u
= 4 x 8
= 32
Answer(s): 32
