Dylan, Caden and Chan collected pens in the ratio of 7 : 6 : 9. After Chan gave
45 to Dylan and Caden, Chan had 152 less pens than Dylan. The number of pens that Caden had increased by 80%. How many pens did Dylan and Chan have in the end?
| |
Dylan |
Caden |
Chan |
| Before |
7 u |
6 u |
9 u |
| Change |
+ 2.4 u |
+ 4.8 u |
- 7.2 u |
| After |
9.4 u |
10.8 u |
1.8 u |
Number of pens that Chan gave to Dylan and Caden
=
45 x 9 u
= 7.2 u
Number of pens that Caden received from Chan
=
80100 x 6 u
= 4.8 u
Number of pens that Dylan received from Chan
= 7.2 u - 4.8 u
= 2.4 u
Number of less pens that Chan had less than Dylan
= 9.4 u - 1.8 u
= 7.6 u
7.6 u = 152
1 u = 152 ÷ 7.6 = 20
Number of pens that Dylan and Chan had
= 9.4 u + 1.8 u
= 11.2 u
= 11.2 x 20
= 224
Answer(s): 224
