Jack, Cody and Chen collected pens in the ratio of 10 : 4 : 9. After Chen gave
45 to Jack and Cody, Chen had 690 less pens than Jack. The number of pens that Cody had increased by 40%. How many pens did Jack and Chen have in the end?
| |
Jack |
Cody |
Chen |
| Before |
10 u |
4 u |
9 u |
| Change |
+ 5.6 u |
+ 1.6 u |
- 7.2 u |
| After |
15.6 u |
5.6 u |
1.8 u |
Number of pens that Chen gave to Jack and Cody
=
45 x 9 u
= 7.2 u
Number of pens that Cody received from Chen
=
40100 x 4 u
= 1.6 u
Number of pens that Jack received from Chen
= 7.2 u - 1.6 u
= 5.6 u
Number of less pens that Chen had less than Jack
= 15.6 u - 1.8 u
= 13.8 u
13.8 u = 690
1 u = 690 ÷ 13.8 = 50
Number of pens that Jack and Chen had
= 15.6 u + 1.8 u
= 17.4 u
= 17.4 x 50
= 870
Answer(s): 870
