Question

5.4 solving systems of equations by elimination quiz

three pizzas and four sandwiches cost \\$69. three pizzas and seven sandwiches cost \\$87. how much does a sandwich cost?

( ) \\$15
( ) \\$6
( ) \\$9
( ) \\$12

Explanation:

Define variables and set up equations

Using the Modeling Word Problems knowledge point
Let \(p\) be the cost of one pizza in dollars, and \(s\) be the cost of one sandwich in dollars.

$$
LATEXBLOCK0
$$

Solve for the sandwich cost

Using the Elimination Method knowledge point
Subtract the first equation from the second equation to eliminate \(p\):

$$
LATEXBLOCK1
$$

Answer:

• (A) $15
• (B) $6 (Correct answer)
• (C) $9
• (D) $12