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A pizza with 2 toppings from Maria's Pizza Place costs $11.00.

A pizza with 5 toppings from Maria's Pizza Place costs $14.75.

Each topping at Maria's Pizza Place costs the same amount.

1.  What is the price per topping at Maria's Pizza Place?

2.  Write an expression that represents the cost, in dollars, of a pizza at Maria's Pizza Place given the number of toppings (n).



Answer :

1.

X - base price
Y - one topping price

You have to create 2 equations:

x + 5y = 14.75 - base amount + 2 toppings give 14.75
X + 2y = 11 - base amount + 2 toppings give $11

You have deduct both equations
X - x = 0
5y - 2y = 3y
14.75 - 11 = 3.75

That means:
3y = 3.75 divide by 3
Y = 1.25

So the price of the topping is $1.25

2.

You have to calculate the base price first:

X + 2*1.25 = 11
X + 2.5 = 11
X = 8.5

Then it is simple:

Price of the pizza = base price + number of toppings multiplied by price of the topping

That means:

Price of the pizza = 8.5 + n * 1.25



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