Cody and Will shared some stickers in the ratio of 5 : 7. After both each gave away 72 stickers to their brother, the ratio of the number of stickers Cody had to the total number of stickers left was 1 : 6. How many stickers did the two boys have at first?
|
Cody |
Will |
Difference |
Before |
5x2 = 10 u |
7x2 = 14 u |
2x2 = 4 u |
Change |
- 72 |
- 72 |
|
After |
1x1 = 1 u |
5x1 = 5 u |
4x1 = 4 u |
Number of stickers that Cody and Will each gave to their brother is the same.
The difference in the number of stickers at first and in the end between Cody and Will remains unchanged. Make the difference in the number of stickers the same. LCM of 2 and 4 is 4.
Number of stickers that Cody gave to their brother
= 10 u - 1 u
= 9 u
9 u = 72
1 u = 72 ÷ 9 = 8
Number of stickers that the two boys had at first
= 10 u + 14 u
= 24 u
= 24 x 8
= 192
Answer(s): 192