Zane, Reggie and Chen collected pens in the ratio of 9 : 10 : 10. After Chen gave
45 to Zane and Reggie, Chen had 150 less pens than Zane. The number of pens that Reggie had increased by 75%. How many pens did Zane and Chen have in the end?
| |
Zane |
Reggie |
Chen |
| Before |
9 u |
10 u |
10 u |
| Change |
+ 0.5 u |
+ 7.5 u |
- 8 u |
| After |
9.5 u |
17.5 u |
2 u |
Number of pens that Chen gave to Zane and Reggie
=
45 x 10 u
= 8 u
Number of pens that Reggie received from Chen
=
75100 x 10 u
= 7.5 u
Number of pens that Zane received from Chen
= 8 u - 7.5 u
= 0.5 u
Number of less pens that Chen had less than Zane
= 9.5 u - 2 u
= 7.5 u
7.5 u = 150
1 u = 150 ÷ 7.5 = 20
Number of pens that Zane and Chen had
= 9.5 u + 2 u
= 11.5 u
= 11.5 x 20
= 230
Answer(s): 230
