Question

A shop hires out carpet cleaners. It charges a fixed fee plus an amount per hour. George pays $59 for 5 hours' hire; Katie pays $83 for 8 hours' hire. Work out cost per hour?

Answer 1

Answer:

11.1

Step-by-step explanation:

very simple to find

Answer 2

Answer:

A shop hires out carpet cleaners. It charges a fixed fee plus an amount per hour.

George pays $59 for 5 hours' hire;

$x + 5y = 59$

Katie pays $83 for 8 hours' hire.

$x + 8y = 83$

From the equations, we get

$3y = 83 - 59 = 24 \\ y = \frac{24}{3} = 8$

So,

$x = 59 - 5 \times 8= 59 - 40 \\ x = 19$

Work out cost per hour is 8 and fixed fee = 19.