Charlie, Liam and Chris collected pens in the ratio of 9 : 8 : 4. After Chris gave
310 to Charlie and Liam, Chris had 330 less pens than Charlie. The number of pens that Liam had increased by 10%. How many pens did Charlie and Chris have in the end?
| |
Charlie |
Liam |
Chris |
| Before |
9 u |
8 u |
4 u |
| Change |
+ 0.4 u |
+ 0.8 u |
- 1.2 u |
| After |
9.4 u |
8.8 u |
2.8 u |
Number of pens that Chris gave to Charlie and Liam
=
310 x 4 u
= 1.2 u
Number of pens that Liam received from Chris
=
10100 x 8 u
= 0.8 u
Number of pens that Charlie received from Chris
= 1.2 u - 0.8 u
= 0.4 u
Number of less pens that Chris had less than Charlie
= 9.4 u - 2.8 u
= 6.6 u
6.6 u = 330
1 u = 330 ÷ 6.6 = 50
Number of pens that Charlie and Chris had
= 9.4 u + 2.8 u
= 12.2 u
= 12.2 x 50
= 610
Answer(s): 610
