Michael had 5 times as many stickers as Cody at first. Then each of them bought an equal number of new stickers. In the end, Cody had 22 stickers and Michael had 3 times as many stickers as Cody. How many stickers did both of them buy altogether?
| |
Michael |
Cody |
Difference |
| Before |
5x1 =
5 u |
1x1 =
1 u |
4x1 =
4 u |
| Change |
+ ? |
+ ? |
|
| After |
3x2 =
6 u |
1x2 =
2 u |
2x2 =
4 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 4 and 2 is 4.
Number of stickers that Cody had in the end = 2 u
2 u = 22
1 u = 22 ÷ 2 = 11
Number of stickers that Michael bought
= 6 u - 5 u
= 1 u
Number of stickers that both of them bought altogether
= 2 x 1 u
= 2 u
= 2 x 11
= 22
Answer(s): 22
