Henry, Peter and Colin collected erasers in the ratio of 9 : 5 : 6. After Colin gave
35 to Henry and Peter, Colin had 410 less erasers than Henry. The number of erasers that Peter had increased by 40%. How many erasers did Henry and Colin have in the end?
| |
Henry |
Peter |
Colin |
| Before |
9 u |
5 u |
6 u |
| Change |
+ 1.6 u |
+ 2 u |
- 3.6 u |
| After |
10.6 u |
7 u |
2.4 u |
Number of erasers that Colin gave to Henry and Peter
=
35 x 6 u
= 3.6 u
Number of erasers that Peter received from Colin
=
40100 x 5 u
= 2 u
Number of erasers that Henry received from Colin
= 3.6 u - 2 u
= 1.6 u
Number of less erasers that Colin had less than Henry
= 10.6 u - 2.4 u
= 8.2 u
8.2 u = 410
1 u = 410 ÷ 8.2 = 50
Number of erasers that Henry and Colin had
= 10.6 u + 2.4 u
= 13 u
= 13 x 50
= 650
Answer(s): 650
