Cody, Ken and Calvin collected stamps in the ratio of 10 : 7 : 9. After Calvin gave
35 to Cody and Ken, Calvin had 415 less stamps than Cody. The number of stamps that Ken had increased by 50%. How many stamps did Cody and Calvin have in the end?
| |
Cody |
Ken |
Calvin |
| Before |
10 u |
7 u |
9 u |
| Change |
+ 1.9 u |
+ 3.5 u |
- 5.4 u |
| After |
11.9 u |
10.5 u |
3.6 u |
Number of stamps that Calvin gave to Cody and Ken
=
35 x 9 u
= 5.4 u
Number of stamps that Ken received from Calvin
=
50100 x 7 u
= 3.5 u
Number of stamps that Cody received from Calvin
= 5.4 u - 3.5 u
= 1.9 u
Number of less stamps that Calvin had less than Cody
= 11.9 u - 3.6 u
= 8.3 u
8.3 u = 415
1 u = 415 ÷ 8.3 = 50
Number of stamps that Cody and Calvin had
= 11.9 u + 3.6 u
= 15.5 u
= 15.5 x 50
= 775
Answer(s): 775
