Zeph had 4 times as many stickers as Sam at first. Then each of them bought an equal number of new stickers. In the end, Sam had 24 stickers and Zeph had 3 times as many stickers as Sam. How many stickers did both of them buy altogether?
| |
Zeph |
Sam |
Difference |
| Before |
4x2 =
8 u |
1x2 =
2 u |
3x2 =
6 u |
| Change |
+ ? |
+ ? |
|
| After |
3x3 =
9 u |
1x3 =
3 u |
2x3 =
6 u |
The difference in the number of stickers at first and in the end remains unchanged. Make the difference in the number of stickers at first and in the end the same. LCM of 3 and 2 is 6.
Number of stickers that Sam had in the end = 3 u
3 u = 24
1 u = 24 ÷ 3 = 8
Number of stickers that Zeph bought
= 9 u - 8 u
= 1 u
Number of stickers that both of them bought altogether
= 2 x 1 u
= 2 u
= 2 x 8
= 16
Answer(s): 16
