Question

£810 is divided between Paul, Brian & Colin so that Paul gets twice as much as Brian, and Brian gets three times as much as Colin. How much does Brian get.

Answer 1

$486 (Paul)

$243(Brian)

$81(Colin)

Solving steps:

let Paul Be x, Brian be x,Colin be x

since Paul got twice as much as Brian which shows that brian and got three times

So Paul,= 3×2 so he got six times as much as the two others

while Brian got three times

and colins got once

so let's make an equation for this problem

=> 6x + 3x + x = $810

add 6 x + 3 x + x which give you 10 x

=> 10x = $810

divide both side by the coefficient of x

=>
`(10x)/(10) = (810)/(10)`

=>
`x = (810)/(10)`

=> x = 81

since you we have find what the value of x

insert into the previous equation which is

=> 6x + 3x + x

=> 6(81) = $486-----(for Paul)

3(81) = $243-------(for Brian)

(81) = $81 ---------(for Collin)