Question

A restaurant offers delivery for their pizzas. The total cost is a delivery fee added to the price of the pizzas. One customer pays $35 to have 2 pizzas delivered. Another customer pays $68 for 5 pizzas. How many pizzas are delivered to a customer who pays $101? 10

Answer 1

8 pizzas are delivered to a customer who pays $101

Explanation:

Let the price of the pizza be $x ( price per pizza) and the delivery fee be $y

The cost for the first customer will be;

2x + y = 35 ••••••(i)

For the second customer, the cost will be;

5x + y = 68 ••••(ii)

We solve both equations simultaneously to get x and y

From i, y = 35-2x

Insert this into ii

5x + 35 -2x = 68

5x -2x = 68-35

3x = 33

x = 33/3 = 11

Recall y = 35 - 2x

y = 35-2(11)

y = 35 - 22

y = 13

So true delivery fee is $13 and the price per pizza is $11

So for a customer who paid 101

His equation will be in the form;

101 = 11x + 13

11x = 101-13

11x = 88

x = 88/11

x = 8