Zane and Valen shared some stickers in the ratio of 4 : 7. After both each gave away 65 stickers to their sister, the ratio of the number of stickers Zane had to the total number of stickers left was 1 : 6. How many stickers did the two boys have in the end?
|
Zane |
Valen |
Difference |
Before |
4x4 = 16 u |
7x4 = 28 u |
3x4 = 12 u |
Change |
- 65 |
- 65 |
|
After |
1x3 = 3 u |
5x3 = 15 u |
4x3 = 12 u |
Number of stickers that Zane and Valen each gave to their sister is the same.
The difference in the number of stickers at first and in the end between Zane and Valen remains unchanged. Make the difference in the number of stickers the same. LCM of 3 and 4 is 12.
Number of stickers that Zane gave to their sister
= 16 u - 3 u
= 13 u
13 u = 65
1 u = 65 ÷ 13 = 5
Number of stickers that the two boys had in the end
= 3 u + 15 u
= 18 u
= 18 x 5
= 90
Answer(s): 90