Paul, Zane and Colin collected erasers in the ratio of 7 : 8 : 5. After Colin gave
35 to Paul and Zane, Colin had 224 less erasers than Paul. The number of erasers that Zane had increased by 30%. How many erasers did Paul and Colin have in the end?
| |
Paul |
Zane |
Colin |
| Before |
7 u |
8 u |
5 u |
| Change |
+ 0.6 u |
+ 2.4 u |
- 3 u |
| After |
7.6 u |
10.4 u |
2 u |
Number of erasers that Colin gave to Paul and Zane
=
35 x 5 u
= 3 u
Number of erasers that Zane received from Colin
=
30100 x 8 u
= 2.4 u
Number of erasers that Paul received from Colin
= 3 u - 2.4 u
= 0.6 u
Number of less erasers that Colin had less than Paul
= 7.6 u - 2 u
= 5.6 u
5.6 u = 224
1 u = 224 ÷ 5.6 = 40
Number of erasers that Paul and Colin had
= 7.6 u + 2 u
= 9.6 u
= 9.6 x 40
= 384
Answer(s): 384
