Ben and Valen had some stamps in the ratio of 8 : 7. Valen and Vincent had some stamps in the ratio of 10 : 3. Ben sold 360 stamps to Vincent and ended up with half the number of stamps Valen had. How many stamps did Vincent have in the end?
| Ben |
Valen |
Vincent |
| 8x10 |
7x10 |
|
| |
10x7 |
3x7 |
| 80 u |
70 u |
21 u |
The number of stamps that Valen had at first is repeated. Make the number of stamps that Valen had at first the same. LCM of 7 and 10 is 70.
| |
Ben |
Valen |
Vincent |
| Before |
80 u |
70 u |
21 u |
| Change |
- 360 |
|
+ 360 |
| After |
35 u |
70 u |
21 u + 360 |
Number of stamps that Ben had in the end
= 70 u ÷ 2
= 35 u
Number of stamps that Ben sold to Vincent
= 80 u - 35 u
= 45 u
45 u = 360
1 u = 360 ÷ 45 = 8
Number of stamps that Vincent had in the end
= 21 u + 360
= 21 x 8 + 360
= 168 + 360
= 528
Answer(s): 528
