At first, Neave had 15 candy canes and Perry had 5 times as many candy canes as Neave. After they each received an equal number of candy canes from their friend, Perry had four times as many candy canes as Neave. How many candy canes did their friend give to both of them altogether?
| |
Neave |
Perry |
Difference |
| Before |
1x3 =
3 u |
5x3 =
15 u |
4x3 =
12 u |
| Change |
+ 1 u |
+ 1 u |
|
| After |
1x4 =
4 u |
4x4 =
16 u |
3x4 =
12 u |
Since both received an equal number of candy canes, the difference in the number of candy canes remains unchanged. LCM of 4 and 3 is 12.
3 u = 15
1 u = 15 ÷ 3 = 5
Number of candy canes that each received
= 4 u - 3 u
= 1 u
Number of candy canes that both of them received altogether
= 2 x 1 u
= 2 u
= 2 x 5
= 10
Answer(s): 10
