Billy, Riordan and Cooper collected stamps in the ratio of 11 : 6 : 7. After Cooper gave
35 to Billy and Riordan, Cooper had 106 less stamps than Billy. The number of stamps that Riordan had increased by 30%. How many stamps did Billy and Cooper have in the end?
|
Billy |
Riordan |
Cooper |
Before |
11 u |
6 u |
7 u |
Change |
+ 2.4 u |
+ 1.8 u |
- 4.2 u |
After |
13.4 u |
7.8 u |
2.8 u |
Number of stamps that Cooper gave to Billy and Riordan
=
35 x 7 u
= 4.2 u
Number of stamps that Riordan received from Cooper
=
30100 x 6 u
= 1.8 u
Number of stamps that Billy received from Cooper
= 4.2 u - 1.8 u
= 2.4 u
Number of less stamps that Cooper had less than Billy
= 13.4 u - 2.8 u
= 10.6 u
10.6 u = 106
1 u = 106 ÷ 10.6 = 10
Number of stamps that Billy and Cooper had
= 13.4 u + 2.8 u
= 16.2 u
= 16.2 x 10
= 162
Answer(s): 162