Oscar, Andy and Corwin collected erasers in the ratio of 11 : 8 : 9. After Corwin gave
35 to Oscar and Andy, Corwin had 288 less erasers than Oscar. The number of erasers that Andy had increased by 40%. How many erasers did Oscar and Corwin have in the end?
|
Oscar |
Andy |
Corwin |
Before |
11 u |
8 u |
9 u |
Change |
+ 2.2 u |
+ 3.2 u |
- 5.4 u |
After |
13.2 u |
11.2 u |
3.6 u |
Number of erasers that Corwin gave to Oscar and Andy
=
35 x 9 u
= 5.4 u
Number of erasers that Andy received from Corwin
=
40100 x 8 u
= 3.2 u
Number of erasers that Oscar received from Corwin
= 5.4 u - 3.2 u
= 2.2 u
Number of less erasers that Corwin had less than Oscar
= 13.2 u - 3.6 u
= 9.6 u
9.6 u = 288
1 u = 288 ÷ 9.6 = 30
Number of erasers that Oscar and Corwin had
= 13.2 u + 3.6 u
= 16.8 u
= 16.8 x 30
= 504
Answer(s): 504