Xavier and Dylan shared some stickers in the ratio of 5 : 8. After both each gave away 21 stickers to their sister, the ratio of the number of stickers Xavier had to the total number of stickers left was 1 : 4. How many stickers did the two boys have at first?
|
Xavier |
Dylan |
Difference |
Before |
5x2 = 10 u |
8x2 = 16 u |
3x2 = 6 u |
Change |
- 21 |
- 21 |
|
After |
1x3 = 3 u |
3x3 = 9 u |
2x3 = 6 u |
Number of stickers that Xavier and Dylan each gave to their sister is the same.
The difference in the number of stickers at first and in the end between Xavier and Dylan remains unchanged. Make the difference in the number of stickers the same. LCM of 3 and 2 is 6.
Number of stickers that Xavier gave to their sister
= 10 u - 3 u
= 7 u
7 u = 21
1 u = 21 ÷ 7 = 3
Number of stickers that the two boys had at first
= 10 u + 16 u
= 26 u
= 26 x 3
= 78
Answer(s): 78