Perry, Fabian and Corwin collected erasers in the ratio of 7 : 10 : 10. After Corwin gave
35 to Perry and Fabian, Corwin had 55 less erasers than Perry. The number of erasers that Fabian had increased by 35%. How many erasers did Perry and Corwin have in the end?
|
Perry |
Fabian |
Corwin |
Before |
7 u |
10 u |
10 u |
Change |
+ 2.5 u |
+ 3.5 u |
- 6 u |
After |
9.5 u |
13.5 u |
4 u |
Number of erasers that Corwin gave to Perry and Fabian
=
35 x 10 u
= 6 u
Number of erasers that Fabian received from Corwin
=
35100 x 10 u
= 3.5 u
Number of erasers that Perry received from Corwin
= 6 u - 3.5 u
= 2.5 u
Number of less erasers that Corwin had less than Perry
= 9.5 u - 4 u
= 5.5 u
5.5 u = 55
1 u = 55 ÷ 5.5 = 10
Number of erasers that Perry and Corwin had
= 9.5 u + 4 u
= 13.5 u
= 13.5 x 10
= 135
Answer(s): 135