Question

phobe, Andy and polly share £270 phobe gets 3 times as much as Andy who gets twice as much as polly work out how much they each get

Answer 1

Andy = £ 60

Phobe=£ 180

Polly= £ 30

Explanation:

Let ,

Andy gets £ X

Phone gets 3x

Polly gets y = X/2

Andy gets 2y

2y = X

Now,

`x + 3x + (x)/(2) = 270 \\ (x * 2 + 3x * 2 + x)/(2) = 270 \\ (2x + 6x + x)/(2) = 270 \\ (9x)/(2) = 270 \\ 9x = 270 * 2 \: ( \: cross \: multiplication) \\ 9x = 540 \\ x = (540)/(9) \\ x = 60`

Replacing values,

`phobe \: gets = 3x \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3 * 60 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 180`

`polly \: gets = (x)/(2) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (60)/(2) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 30`

Hope this helps...

Good luck on your assignment..