Sean, Vaidev and Clifford collected pens in the ratio of 11 : 10 : 8. After Clifford gave
45 to Sean and Vaidev, Clifford had 286 less pens than Sean. The number of pens that Vaidev had increased by 15%. How many pens did Sean and Clifford have in the end?
|
Sean |
Vaidev |
Clifford |
Before |
11 u |
10 u |
8 u |
Change |
+ 4.9 u |
+ 1.5 u |
- 6.4 u |
After |
15.9 u |
11.5 u |
1.6 u |
Number of pens that Clifford gave to Sean and Vaidev
=
45 x 8 u
= 6.4 u
Number of pens that Vaidev received from Clifford
=
15100 x 10 u
= 1.5 u
Number of pens that Sean received from Clifford
= 6.4 u - 1.5 u
= 4.9 u
Number of less pens that Clifford had less than Sean
= 15.9 u - 1.6 u
= 14.3 u
14.3 u = 286
1 u = 286 ÷ 14.3 = 20
Number of pens that Sean and Clifford had
= 15.9 u + 1.6 u
= 17.5 u
= 17.5 x 20
= 350
Answer(s): 350