Howard, Mark and Cooper collected erasers in the ratio of 11 : 6 : 9. After Cooper gave
710 to Howard and Mark, Cooper had 404 less erasers than Howard. The number of erasers that Mark had increased by 75%. How many erasers did Howard and Cooper have in the end?
|
Howard |
Mark |
Cooper |
Before |
11 u |
6 u |
9 u |
Change |
+ 1.8 u |
+ 4.5 u |
- 6.3 u |
After |
12.8 u |
10.5 u |
2.7 u |
Number of erasers that Cooper gave to Howard and Mark
=
710 x 9 u
= 6.3 u
Number of erasers that Mark received from Cooper
=
75100 x 6 u
= 4.5 u
Number of erasers that Howard received from Cooper
= 6.3 u - 4.5 u
= 1.8 u
Number of less erasers that Cooper had less than Howard
= 12.8 u - 2.7 u
= 10.1 u
10.1 u = 404
1 u = 404 ÷ 10.1 = 40
Number of erasers that Howard and Cooper had
= 12.8 u + 2.7 u
= 15.5 u
= 15.5 x 40
= 620
Answer(s): 620