Cheese pizzas cost $7 and pepperoni pizzas cost $9. You order a total of 40 pizzas and the bill is $310. How many of each pizza did you order

Respuesta :

Answer: cheese pizzas = 25 , Pepperoni pizzas = 15

Step-by-step explanation:

Let x = Number of cheese pizzas, y =  Number of pepperoni pizzas.

As per given,

[tex]x+y=40\ \ \ (i)\\\\ 7x+9y=310\ \ \ (ii)[/tex]

Multiply 7 on both sides of (i), we get

[tex]7x+7y=280\ \ \ (iii)[/tex]

Eliminate (iii) from (ii), we get

[tex]2y= 30\\\\\Rightarrow\ y=15[/tex]

Put value of y in (i) ,  [tex]x+15=40\Rightarrow\ x= 40-15= 25[/tex]

Hence, cheese pizzas = 25 , Pepperoni pizzas = 15

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