Peter, Harry and Charlie collected erasers in the ratio of 10 : 9 : 5. After Charlie gave
45 to Peter and Harry, Charlie had 103 less erasers than Peter. The number of erasers that Harry had increased by 30%. How many erasers did Peter and Charlie have in the end?
|
Peter |
Harry |
Charlie |
Before |
10 u |
9 u |
5 u |
Change |
+ 1.3 u |
+ 2.7 u |
- 4 u |
After |
11.3 u |
11.7 u |
1 u |
Number of erasers that Charlie gave to Peter and Harry
=
45 x 5 u
= 4 u
Number of erasers that Harry received from Charlie
=
30100 x 9 u
= 2.7 u
Number of erasers that Peter received from Charlie
= 4 u - 2.7 u
= 1.3 u
Number of less erasers that Charlie had less than Peter
= 11.3 u - 1 u
= 10.3 u
10.3 u = 103
1 u = 103 ÷ 10.3 = 10
Number of erasers that Peter and Charlie had
= 11.3 u + 1 u
= 12.3 u
= 12.3 x 10
= 123
Answer(s): 123