A pizzeria sells two types of pizza for lunch: The pepperoni pizza costs $8.50 and the cheese pizza costs $6.00. In one day they

Question

2 years ago

7

sold 45 pizzas for a total of $365. How many cheese pizzas were sold? How many pepperoni pizzas were sold?

1 answer:

Yakvenalex [24] · Answer 1 · 2022-05-23T21:03:50+03:00

7 cheese pizzas and 38 pepperoni pizzas were sold.

Step-by-step explanation:

Given,

Cost of one pepperoni pizza = $8.50

Cost of one cheese pizza = $6.00

Total pizzas sold = 45

Total worth = $365

Let,

x be the number of pepperoni pizzas sold.

y be the number of cheese pizzas sold.

According to given statement;

x+y=45 Eqn 1

8.50x+6y=365 Eqn 2

Multiplying Eqn 1 by 6

$6(x+y=45)\\6x+6y=270\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(8.50x+6y)-(6x+6y)=365-270\\8.50x+6y-6x-6y=95\\2.50x=95$

Dividing both sides by 2.50

$\frac{2.50x}{2.50}=\frac{95}{2.50}\\x=38$

Putting x=38 in Eqn 1

$38+y=45\\y=45-38\\y=7$

7 cheese pizzas and 38 pepperoni pizzas were sold.

Keywords: linear equation, subtraction

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