May You Please Give Me The Answer:

Question

Problem Page: Carlos will choose between two restaurants to purchase pizzas for his party. The first restaurant charges a delivery fee of $6 for the entire purchase and $11 per pizza. The second restaurant charges a delivery fee of $1 for the entire purchase and $12 per pizza.

 

Let X be the number of pizzas purchased.
(A)For each restaurant, write an expression for the total charge of purchasing
X pizzas (with delivery).

Total Charge From The First Restaurant(In=Dollars)
Total Charge From The Second Restaurant(In=Dollars)

(B)Write an equation to show that the total charge (with delivery) from the two restaurants is the same.

Answer 1

The problem doesn't state how many pizzas Carlos intends to buy for his party, so we cannot immediately arrive at an exact figure.

 

However, we can express the charge for purchasing x pizzas from Restaurant 1 as:

 

6 + 11x

 

For Restaurant 2, the expression for the purchase price would be:

 

1 + 12x

 

When will the charge from the two restaurants be the same? When the following occurs:

 

6 + 11x = 1 + 12x

 

6 = 1 + x

 

x = 5

 

The price will be same when Carlos buys 5 pizzas, and the charge will be:

 

6 + 11(5) = 6 + 55 = $61