Question

Perry’s pizza parlor sells pepperoni pizza for $1.15 per piece and plain pizza for $0.90. Paul purchased 37 pieces of pizza for Pam’s party, paying $39.05. How many pieces of pepperoni pizza did Paul purchased?

Answer 1

Answer:

Paul purchased 23 pieces of pepperoni pizza

Step-by-step explanation:

Let pepperoni pizza pieces = x

and plain pizza pieces  = y

So, the equations will be:

AS pepperoni pizza piece is sold for $1.15 and plain pizza is sold for $0.90 and Paul paid $39.05

1.15 x + 0.90 y = 39.05    eq(1)

Paul bought total 37 pieces of pizza so,

x + y = 37      eq(2)

Solving eq(1) and (2)  we can find the pieces of pepperoni pizza bought by Paul.

Multiplying equation (2) with 1.15 and subtracting eq(1) and eq(2)

1.15 x + 0.90 y = 39.05

1.15 x + 1.15 y = 42.55

-         -              -

__________________

0 x - 0.25 y = -3.5

y = -3.5/-0.25

y = 14

Putting value of y in equation(2)

x+y = 37

x + 14 = 37

x = 37 - 14

x = 23

So, Paul purchased 23 pieces of pepperoni pizza as x represents pepperoni pizza pieces.