Ben was in charge of ordering 32 pizzas for the office party. he ordered three types of pizza: cheese, pepperoni, and supreme. the cheese pizzas cost $ 7 each, the pepperoni pizzas cost $ 10 each, and the supreme pizzas cost $ 13 each. he spent exactly twice as much on the pepperoni pizzas as he did on the cheese pizzas. if ben spent a total of $ 314 on pizza, how many pizzas of each type did he buy?

cheese pizza = 10

Pepperoni pizza = 14

supreme pizza = 8

Step-by-step explanation:

Let the number of ordered pizza be

cheese pizza = c

Pepperoni pizza = p

supreme pizza = s

thus,

c + p + s = 32  ................(1)

Cost of cheese pizzas = $7

Cost of Pepperoni  pizzas = $10

Cost of supreme pizzas = $13

therefore,

7c + 10p + 13s = 314  ..................(2)

also,

He spent exactly twice as much on the pepperoni pizzas as he did on the cheese pizzas

10p = 2 × 7c

or

5p = 7c ..............(3)

or

p =

now,

multiplying equation (1) with 5, we get

5c + 5p + 5s = 160

now,

substituting value of 5c from equation (3)

5c + 7c + 5s = 160

or

12c + 5s = 160 ................(4)

and substituting the value of p in equation (2)

7c + 14c + 13s = 314

or

21c + 13s = 314        ..............(5)

solving  4 and 5

we get

  7 × ( 12c + 5s = 160 )

- 4 × ( 21c + 13s = 314 )

or

 84c + 35s = 1120

- 84c + 52s = 1256

----------------------------

-17s = -136

or

s = 8

substituting s in 5, we get

21c + 13 × 8 = 314

or

21c = 210

or

c = 10

substituting s and c in equation 1, we get

10 + p + 8 = 32

or

p = 14

therefore,

cheese pizza = 10

Pepperoni pizza = 14

supreme pizza = 8

what   tables?

step-by-step explanation:

all the angles opposite to the angle 150 would be 150 and all the angles that are next to 150 are 30 because they equal 180 it you add it up.

step-by-step explanation: