Daniel, Will and Chris collected pens in the ratio of 7 : 8 : 9. After Chris gave
710 to Daniel and Will, Chris had 180 less pens than Daniel. The number of pens that Will had increased by 20%. How many pens did Daniel and Chris have in the end?
| |
Daniel |
Will |
Chris |
| Before |
7 u |
8 u |
9 u |
| Change |
+ 4.7 u |
+ 1.6 u |
- 6.3 u |
| After |
11.7 u |
9.6 u |
2.7 u |
Number of pens that Chris gave to Daniel and Will
=
710 x 9 u
= 6.3 u
Number of pens that Will received from Chris
=
20100 x 8 u
= 1.6 u
Number of pens that Daniel received from Chris
= 6.3 u - 1.6 u
= 4.7 u
Number of less pens that Chris had less than Daniel
= 11.7 u - 2.7 u
= 9 u
9 u = 180
1 u = 180 ÷ 9 = 20
Number of pens that Daniel and Chris had
= 11.7 u + 2.7 u
= 14.4 u
= 14.4 x 20
= 288
Answer(s): 288
