Harry, Ben and Cooper collected erasers in the ratio of 7 : 9 : 8. After Cooper gave
34 to Harry and Ben, Cooper had 92 less erasers than Harry. The number of erasers that Ben had increased by 20%. How many erasers did Harry and Cooper have in the end?
| |
Harry |
Ben |
Cooper |
| Before |
7 u |
9 u |
8 u |
| Change |
+ 4.2 u |
+ 1.8 u |
- 6 u |
| After |
11.2 u |
10.8 u |
2 u |
Number of erasers that Cooper gave to Harry and Ben
=
34 x 8 u
= 6 u
Number of erasers that Ben received from Cooper
=
20100 x 9 u
= 1.8 u
Number of erasers that Harry received from Cooper
= 6 u - 1.8 u
= 4.2 u
Number of less erasers that Cooper had less than Harry
= 11.2 u - 2 u
= 9.2 u
9.2 u = 92
1 u = 92 ÷ 9.2 = 10
Number of erasers that Harry and Cooper had
= 11.2 u + 2 u
= 13.2 u
= 13.2 x 10
= 132
Answer(s): 132
