Riordan, Eric and Chester collected stamps in the ratio of 11 : 6 : 8. After Chester gave
45 to Riordan and Eric, Chester had 565 less stamps than Riordan. The number of stamps that Eric had increased by 75%. How many stamps did Riordan and Chester have in the end?
|
Riordan |
Eric |
Chester |
Before |
11 u |
6 u |
8 u |
Change |
+ 1.9 u |
+ 4.5 u |
- 6.4 u |
After |
12.9 u |
10.5 u |
1.6 u |
Number of stamps that Chester gave to Riordan and Eric
=
45 x 8 u
= 6.4 u
Number of stamps that Eric received from Chester
=
75100 x 6 u
= 4.5 u
Number of stamps that Riordan received from Chester
= 6.4 u - 4.5 u
= 1.9 u
Number of less stamps that Chester had less than Riordan
= 12.9 u - 1.6 u
= 11.3 u
11.3 u = 565
1 u = 565 ÷ 11.3 = 50
Number of stamps that Riordan and Chester had
= 12.9 u + 1.6 u
= 14.5 u
= 14.5 x 50
= 725
Answer(s): 725