Brandon, Oscar and Corwin collected erasers in the ratio of 7 : 4 : 4. After Corwin gave
710 to Brandon and Oscar, Corwin had 124 less erasers than Brandon. The number of erasers that Oscar had increased by 60%. How many erasers did Brandon and Corwin have in the end?
|
Brandon |
Oscar |
Corwin |
Before |
7 u |
4 u |
4 u |
Change |
+ 0.4 u |
+ 2.4 u |
- 2.8 u |
After |
7.4 u |
6.4 u |
1.2 u |
Number of erasers that Corwin gave to Brandon and Oscar
=
710 x 4 u
= 2.8 u
Number of erasers that Oscar received from Corwin
=
60100 x 4 u
= 2.4 u
Number of erasers that Brandon received from Corwin
= 2.8 u - 2.4 u
= 0.4 u
Number of less erasers that Corwin had less than Brandon
= 7.4 u - 1.2 u
= 6.2 u
6.2 u = 124
1 u = 124 ÷ 6.2 = 20
Number of erasers that Brandon and Corwin had
= 7.4 u + 1.2 u
= 8.6 u
= 8.6 x 20
= 172
Answer(s): 172