Jack, Sean and Christopher collected stamps in the ratio of 7 : 5 : 10. After Christopher gave
15 to Jack and Sean, Christopher had -5 less stamps than Jack. The number of stamps that Sean had increased by 30%. How many stamps did Jack and Christopher have in the end?
|
Jack |
Sean |
Christopher |
Before |
7 u |
5 u |
10 u |
Change |
+ 0.5 u |
+ 1.5 u |
- 2 u |
After |
7.5 u |
6.5 u |
8 u |
Number of stamps that Christopher gave to Jack and Sean
=
15 x 10 u
= 2 u
Number of stamps that Sean received from Christopher
=
30100 x 5 u
= 1.5 u
Number of stamps that Jack received from Christopher
= 2 u - 1.5 u
= 0.5 u
Number of less stamps that Christopher had less than Jack
= 7.5 u - 8 u
= -0.5 u
-0.5 u = -5
1 u = -5 ÷ -0.5 = 10
Number of stamps that Jack and Christopher had
= 7.5 u + 8 u
= 15.5 u
= 15.5 x 10
= 155
Answer(s): 155