Jack, Oliver and Cooper collected pens in the ratio of 11 : 4 : 10. After Cooper gave
34 to Jack and Oliver, Cooper had 620 less pens than Jack. The number of pens that Oliver had increased by 90%. How many pens did Jack and Cooper have in the end?
| |
Jack |
Oliver |
Cooper |
| Before |
11 u |
4 u |
10 u |
| Change |
+ 3.9 u |
+ 3.6 u |
- 7.5 u |
| After |
14.9 u |
7.6 u |
2.5 u |
Number of pens that Cooper gave to Jack and Oliver
=
34 x 10 u
= 7.5 u
Number of pens that Oliver received from Cooper
=
90100 x 4 u
= 3.6 u
Number of pens that Jack received from Cooper
= 7.5 u - 3.6 u
= 3.9 u
Number of less pens that Cooper had less than Jack
= 14.9 u - 2.5 u
= 12.4 u
12.4 u = 620
1 u = 620 ÷ 12.4 = 50
Number of pens that Jack and Cooper had
= 14.9 u + 2.5 u
= 17.4 u
= 17.4 x 50
= 870
Answer(s): 870
