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

Answer:

Andy = £ 60

Phobe=£ 180

Polly= £ 30

Step-by-step explanation:

Let ,

Andy gets £ X

Phone gets 3x

Polly gets y = X/2

Andy gets 2y

2y = X

Now,

$x + 3x + \frac{x}{2} = 270 \\ \frac{x \times 2 + 3x \times 2 + x}{2} = 270 \\ \frac{2x + 6x + x}{2} = 270 \\ \frac{9x}{2} = 270 \\ 9x = 270 \times 2 \: ( \: cross \: multiplication) \\ 9x = 540 \\ x = \frac{540}{9} \\ x = 60$

Replacing values,

$phobe \: gets = 3x \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3 \times 60 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 180$

$polly \: gets = \frac{x}{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{60}{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 30$

Hope this helps...

Good luck on your assignment..