Dylan had 5 times as many stickers as Henry at first. Then each of them bought an equal number of new stickers. In the end, Henry had 20 stickers and Dylan had 3 times as many stickers as Henry. How many stickers did both of them buy altogether?
|
Dylan |
Henry |
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 Henry had in the end = 2 u
2 u = 20
1 u = 20 ÷ 2 = 10
Number of stickers that Dylan bought
= 6 u - 5 u
= 1 u
Number of stickers that both of them bought altogether
= 2 x 1 u
= 2 u
= 2 x 10
= 20
Answer(s): 20