Ben, Ken and Calvin collected stamps in the ratio of 11 : 6 : 4. After Calvin gave
35 to Ben and Ken, Calvin had 448 less stamps than Ben. The number of stamps that Ken had increased by 10%. How many stamps did Ben and Calvin have in the end?
| |
Ben |
Ken |
Calvin |
| Before |
11 u |
6 u |
4 u |
| Change |
+ 1.8 u |
+ 0.6 u |
- 2.4 u |
| After |
12.8 u |
6.6 u |
1.6 u |
Number of stamps that Calvin gave to Ben and Ken
=
35 x 4 u
= 2.4 u
Number of stamps that Ken received from Calvin
=
10100 x 6 u
= 0.6 u
Number of stamps that Ben received from Calvin
= 2.4 u - 0.6 u
= 1.8 u
Number of less stamps that Calvin had less than Ben
= 12.8 u - 1.6 u
= 11.2 u
11.2 u = 448
1 u = 448 ÷ 11.2 = 40
Number of stamps that Ben and Calvin had
= 12.8 u + 1.6 u
= 14.4 u
= 14.4 x 40
= 576
Answer(s): 576
