Valen and Jack had some stamps in the ratio of 11 : 8. Jack and Michael had some stamps in the ratio of 7 : 1. Valen sold 539 stamps to Michael and ended up with half the number of stamps Jack had. How many stamps did Michael have in the end?
| Valen |
Jack |
Michael |
| 11x7 |
8x7 |
|
| |
7x8 |
1x8 |
| 77 u |
56 u |
8 u |
The number of stamps that Jack had at first is repeated. Make the number of stamps that Jack had at first the same. LCM of 8 and 7 is 56.
| |
Valen |
Jack |
Michael |
| Before |
77 u |
56 u |
8 u |
| Change |
- 539 |
|
+ 539 |
| After |
28 u |
56 u |
8 u + 539 |
Number of stamps that Valen had in the end
= 56 u ÷ 2
= 28 u
Number of stamps that Valen sold to Michael
= 77 u - 28 u
= 49 u
49 u = 539
1 u = 539 ÷ 49 = 11
Number of stamps that Michael had in the end
= 8 u + 539
= 8 x 11 + 539
= 88 + 539
= 627
Answer(s): 627
