Question

How would you create a multistep linear equation to represent a real-world scenario where ABC Electronics sells printers for $35 profit each and routers for $18 profit each, with a total of 125 items sold for $2,420 profit? (1 point)
Responses

35x + 18x = 2,420
35x + 18x = 2,420

35x - 18x = 2,420
35x - 18x = 2,420

35x + 18(125 - x) = 2,420
35x + 18(125 - x) = 2,420

35(125) + 18x = 2,420

Answer 1

To create a multistep linear equation for the scenario described, we need to define the variables and then express the relationship based on the given information:

Let \( x \) be the number of printers sold, and since the total number of items sold is 125, the number of routers sold would be \( 125 - x \).

The profit from the printers sold is \( 35x \), and the profit from the routers sold is \( 18(125 - x) \).

Given that the total profit is $2,420, we can set up the equation as follows:

\[
35x + 18(125 - x) = 2,420
\]

This equation represents the total profit generated from both the printers and routers. Therefore, the correct response is:

**35x + 18(125 - x) = 2,420**