Question

A group of four friends are getting lunch together. They each buy 1 sandwich, 1 cookie, and 1 drink. The table shows the cost of each item.

Item Cost per Item
cookie $2.00
drink $1.00
sandwich x
The total cost for the group of friends is $32.00. Which equation can be used to find the cost of a sandwich, x, and what is the cost of a sandwich?
a) 3x + 4 = 32; $9.33
b) 3(x + 4) = 32; $6.67
c) 4x + 3 = 32; $7.25
d) 4(x + 3) = 32; $5.00

Answer 1

The cost of one sandwich, x, is found by setting up an equation that accounts for the total cost of lunches for all friends. By using the provided costs for cookies and drinks and solving the equation, x comes out to be $5.00. The correct equation to use is 4(x + 3) = 32. Option d.

Step-by-step explanation:

To find the cost of a sandwich, x, we need to set up an equation that represents the total cost for the group of friends. Each friend buys one sandwich at price x, one cookie at $2, and one drink at $1. Since there are four friends, the total cost for their lunch is represented by the equation:

4x + 4(2) + 4(1) = 32

This simplifies to:

4x + 8 + 4 = 32

Subtracting 12 from both sides gives us:

4x = 32 - 12

4x = 20

Dividing both sides by 4 yields:

x = 5

Therefore, the cost of one sandwich is $5.00 and the correct equation to use is 4(x + 3) = 32, which corresponds to option d).