Carl, Billy and Chen collected pens in the ratio of 9 : 7 : 4. After Chen gave
35 to Carl and Billy, Chen had 385 less pens than Carl. The number of pens that Billy had increased by 30%. How many pens did Carl and Chen have in the end?
| |
Carl |
Billy |
Chen |
| Before |
9 u |
7 u |
4 u |
| Change |
+ 0.3 u |
+ 2.1 u |
- 2.4 u |
| After |
9.3 u |
9.1 u |
1.6 u |
Number of pens that Chen gave to Carl and Billy
=
35 x 4 u
= 2.4 u
Number of pens that Billy received from Chen
=
30100 x 7 u
= 2.1 u
Number of pens that Carl received from Chen
= 2.4 u - 2.1 u
= 0.3 u
Number of less pens that Chen had less than Carl
= 9.3 u - 1.6 u
= 7.7 u
7.7 u = 385
1 u = 385 ÷ 7.7 = 50
Number of pens that Carl and Chen had
= 9.3 u + 1.6 u
= 10.9 u
= 10.9 x 50
= 545
Answer(s): 545
