Peter, Sean and Chester collected pens in the ratio of 7 : 5 : 5. After Chester gave
45 to Peter and Sean, Chester had 190 less pens than Peter. The number of pens that Sean had increased by 10%. How many pens did Peter and Chester have in the end?
| |
Peter |
Sean |
Chester |
| Before |
7 u |
5 u |
5 u |
| Change |
+ 3.5 u |
+ 0.5 u |
- 4 u |
| After |
10.5 u |
5.5 u |
1 u |
Number of pens that Chester gave to Peter and Sean
=
45 x 5 u
= 4 u
Number of pens that Sean received from Chester
=
10100 x 5 u
= 0.5 u
Number of pens that Peter received from Chester
= 4 u - 0.5 u
= 3.5 u
Number of less pens that Chester had less than Peter
= 10.5 u - 1 u
= 9.5 u
9.5 u = 190
1 u = 190 ÷ 9.5 = 20
Number of pens that Peter and Chester had
= 10.5 u + 1 u
= 11.5 u
= 11.5 x 20
= 230
Answer(s): 230
