Paul, Caden and Clark collected pens in the ratio of 11 : 4 : 6. After Clark gave
34 to Paul and Caden, Clark had 520 less pens than Paul. The number of pens that Caden had increased by 90%. How many pens did Paul and Clark have in the end?
| |
Paul |
Caden |
Clark |
| Before |
11 u |
4 u |
6 u |
| Change |
+ 0.9 u |
+ 3.6 u |
- 4.5 u |
| After |
11.9 u |
7.6 u |
1.5 u |
Number of pens that Clark gave to Paul and Caden
=
34 x 6 u
= 4.5 u
Number of pens that Caden received from Clark
=
90100 x 4 u
= 3.6 u
Number of pens that Paul received from Clark
= 4.5 u - 3.6 u
= 0.9 u
Number of less pens that Clark had less than Paul
= 11.9 u - 1.5 u
= 10.4 u
10.4 u = 520
1 u = 520 ÷ 10.4 = 50
Number of pens that Paul and Clark had
= 11.9 u + 1.5 u
= 13.4 u
= 13.4 x 50
= 670
Answer(s): 670
