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Mike was ordering pizzas for a party. He ordered triple the number of sausage pizzas as cheese pizzas. He ordered twice as many pepperoni pizzas as cheese. He also requested a fourth as many supreme pizzas as pepperoni. If he paid for 39 pizzas total, how many of each type of pizza did he order? Write an equation or draw a diagram to support your answer.

Sagot :

JeanaShupp

Answer: Number of cheese pizzas = 6

Number of sausage pizzas =18

Number of pepperoni pizzas = 12

Number of supreme pizzas =  3

Step-by-step explanation:

Let x= Number of cheese pizzas.

Number of sausage pizzas = 3x

Number of pepperoni pizzas = 2x

Number of supreme pizzas = [tex]\dfrac{2x}{4}=\dfrac{x}{2}[/tex]

Total pizzas = [tex]x+3x+2x+\dfrac{x}{2}=39[/tex]

[tex]\Rightarrow\ \dfrac{13x}{2}=39\\\\\Rightarrow\ x=\dfrac{39}{13}\times2\\\\\Rightarrow\ x=6[/tex]

Number of cheese pizzas = 6

Number of sausage pizzas = 3(6) = 18

Number of pepperoni pizzas = 2(6) = 12

Number of supreme pizzas =  [tex]\dfrac{12}{4}=3[/tex]

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