Paul, Nick and Corwin collected pens in the ratio of 7 : 8 : 8. After Corwin gave
710 to Paul and Nick, Corwin had 124 less pens than Paul. The number of pens that Nick had increased by 50%. How many pens did Paul and Corwin have in the end?
| |
Paul |
Nick |
Corwin |
| Before |
7 u |
8 u |
8 u |
| Change |
+ 1.6 u |
+ 4 u |
- 5.6 u |
| After |
8.6 u |
12 u |
2.4 u |
Number of pens that Corwin gave to Paul and Nick
=
710 x 8 u
= 5.6 u
Number of pens that Nick received from Corwin
=
50100 x 8 u
= 4 u
Number of pens that Paul received from Corwin
= 5.6 u - 4 u
= 1.6 u
Number of less pens that Corwin had less than Paul
= 8.6 u - 2.4 u
= 6.2 u
6.2 u = 124
1 u = 124 ÷ 6.2 = 20
Number of pens that Paul and Corwin had
= 8.6 u + 2.4 u
= 11 u
= 11 x 20
= 220
Answer(s): 220
