At first, Justin had 26 candy canes and Vincent had 6 times as many candy canes as Justin. After they each received an equal number of candy canes from their nephew, Vincent had thrice as many candy canes as Justin. How many candy canes did their nephew give to both of them altogether?
| |
Justin |
Vincent |
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 candy canes, the difference in the number of candy canes remains unchanged. LCM of 5 and 2 is 10.
2 u = 26
1 u = 26 ÷ 2 = 13
Number of candy canes that each received
= 5 u - 2 u
= 3 u
Number of candy canes that both of them received altogether
= 2 x 3 u
= 6 u
= 6 x 13
= 78
Answer(s): 78
