Two friends went to a restaurant and ordered one plain pizza and two sodas. Their bill totaled $15.95. Later that day, five friends went to the same restaurant. They ordered three plain pizzas and each person had one soda. Their bill totaled $45.90. Write and solve a system of equations to determine the price of one plain pizza. [Only an algebraic solution can receive full credit.]

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter4: Systems Of Linear Equations
Section4.3: Solve Mixture Applications With Systems Of Equations
Problem 160E: Take a handful of two types of coins, and write a problem similar to Example 4.25 relating the total...
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Two friends went to a restaurant and ordered one
plain pizza and two sodas. Their bill totaled
$15.95. Later that day, five friends went to the
same restaurant. They ordered three plain pizzas
and each person had one soda. Their bill totaled
$45.90. Write and solve a system of equations to
determine the price of one plain pizza. [Only an
algebraic solution can receive full credit.]
Transcribed Image Text:Two friends went to a restaurant and ordered one plain pizza and two sodas. Their bill totaled $15.95. Later that day, five friends went to the same restaurant. They ordered three plain pizzas and each person had one soda. Their bill totaled $45.90. Write and solve a system of equations to determine the price of one plain pizza. [Only an algebraic solution can receive full credit.]
Expert Solution
Step 1

Let price of one plane pizza = $x

Price of one soda = $y

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