Question

Alec, Hayden and Rose are comparing how much they get paid.
Hayden gets £4 per hour more than Alec.
The ratio of Rose's hourly rate to Alec's is 3:2
The total of their hourly rates of pay is £25.
Which of the three earns the most?
Show how you decide.

Answer 1

So let income of Alec = A , Hayden = B, Rose = C

Now Hayden gets 4 per hr more than Alec.

Mathematically, we have - B = A + 4

Also rate of Rose to Alec = 3 : 2

Hence C : A = 3 : 2

Total hourly rate is 25.

A+B+C = 25

A+A+4+C = 25 ( B = A + 4)

2A+C+4 = 25 => 2A+C = 21

Let C = 3x, A = 2x. (since C : A = 3:2)

Using above values

2.2X + 3X = 21

7X = 21 => X = 3

Hence pay of A = 2x3 = 6, C = 3x3 = 9

B = 25-6-9 = 10

Hence, Alec gets 6 , Hayden gets 10, Rose gets 9.

Hope it helps! :)

Answer 2

Thanks.