Dylan, Archie and Chan collected pens in the ratio of 9 : 8 : 5. After Chan gave
710 to Dylan and Archie, Chan had 164 less pens than Dylan. The number of pens that Archie had increased by 35%. How many pens did Dylan and Chan have in the end?
| |
Dylan |
Archie |
Chan |
| Before |
9 u |
8 u |
5 u |
| Change |
+ 0.7 u |
+ 2.8 u |
- 3.5 u |
| After |
9.7 u |
10.8 u |
1.5 u |
Number of pens that Chan gave to Dylan and Archie
=
710 x 5 u
= 3.5 u
Number of pens that Archie received from Chan
=
35100 x 8 u
= 2.8 u
Number of pens that Dylan received from Chan
= 3.5 u - 2.8 u
= 0.7 u
Number of less pens that Chan had less than Dylan
= 9.7 u - 1.5 u
= 8.2 u
8.2 u = 164
1 u = 164 ÷ 8.2 = 20
Number of pens that Dylan and Chan had
= 9.7 u + 1.5 u
= 11.2 u
= 11.2 x 20
= 224
Answer(s): 224
