Question

A restaurant offers delivery for their pizzas. The total cost is a delivery fee added to the price of the pizzas. One customer pay $25 to have 2 pizzas delivered. Another customer pays $58 for 5 pizzas. How many pizzas are delivered to a customer who pays $80?

Answer 1

Explanation:

It is not stated, but implied that all pizzas cost the same. Therefore:

Let d = delivery fee.

Let p = cost of the pizza.

(Now, let's create an equation)

2p + d = 25

5p + d = 58 (We need to find out the values for "p" and "d." Let's find the

value for "p" by subtracting "d" and the other terms.)

2p + d = 25

- 5p + d = 58

-3p = -33 (divide both sides by -3 to find the value of "p.")

-3p = - 33

-3 -3

p = 11 (The cost of one pizza is $11.00. Now, let's substitute the

"p" for 11 into the first equation. The goal is to find the value for "d.")

2(11) + d = 25

22 + d = 25 (We know that 22 + 3 = 25.)

d = 3

The delivery fee is $3.00.

The cost of the pizza is $11.00.

How many pizzas are delivered to a customer who pays $80.00?

(Let's substitute the numbers into the new equation.)

11p + 3 = 80 (Subtract 3 on both sides. We are finding the value for "p.")

11p = 77 (Divide 11 on both sides.)

p = 7

Therefore, 7 pizzas are delivered to a person who paid $80.00.

Answer 2

Find out the how many pizzas are delivered to a customer who pays $80 .

To prove

As given

A restaurant offers delivery for their pizzas.

The total cost is a delivery fee added to the price of the pizzas.

One customer pay $25 to have 2 pizzas delivered.

`Let\ us\assume\ cost\ of\ the\ one\ customer\ pay = x_(1) = 25`

`Let\ us\assume\ number\ of\ pizza = y_(1) = 2`

Another customer pays $58 for 5 pizzas.

`Let\ us\assume\ cost\ of\ the\ second\ customer\ pay = x_(2) = 58`

`Let\ us\assume\ number\ of\ pizza = y_(2) = 5`

Thus by using the slope formula

`m =(y_(2) - y_(1))/(x_(2) - x_(1))`

Putting the value in the formula

`m = (5 - 2)/(58 - 25)`

`m = (3)/(33)`

Simplify the above

`m = (1)/(11)`

This represented one pizza cost is $11.

Thus 2 pizza cost = $11 × 2

= $22

Thus

Delivery price = Total cost of 2 pizza including delivery fee - Cost of 2 pizza

= $25 - $22

= $3

Thus 5 pizza cost = $11 × 5

= $55

Thus

Delivery price = Total cost of 5 pizza including delivery fee - Cost of 5 pizza

= $58 - $55

= $3

Therefore the delivery charge is $3.

Now calculate the number of pizza for the customer who pays $80.

Cost of the pizza = Total cost of the pizza including delivery charges - Delivery charges

= $80 - $3

= $ 77

Let us assume that the number of pizza for the customer who pays $80 = x

Cost of one pizza = $11

Than the equation becomes

11 × x = 77

`x = (77)/(11)`

x = 7

Therefore the number of pizza are 7 delivered to a customer who pays $80 .