Question

question 1 m | lesson 3-2: extra practice (grade 8)
part a
a car salesperson has already sold 30 cars this year. he sells an average of 13 cars per month. another salesperson has already sold 50 cars this year. she sells an average of 11 cars per month. after how many months will the salespeople have sold the same number of cars?
let m represent the number of months. select the correct values to write an equation to represent the situation.
first salesperson
select choice + select choice m
=
second salesperson
select choice + select choice m
part b
solve the equation. after how many months will the salespeople have sold the same number of cars?
____ month(s)

Explanation:

Step1: Define Variables and Equations

Let \( m \) be the number of months. The first salesperson has sold 30 cars and sells 13 per month, so their total is \( 30 + 13m \). The second has sold 50 cars and sells 11 per month, so their total is \( 50 + 11m \). Set them equal: \( 30 + 13m = 50 + 11m \).

Step2: Solve for \( m \)

Subtract \( 11m \) from both sides: \( 30 + 2m = 50 \). Subtract 30: \( 2m = 20 \). Divide by 2: \( m = 10 \).

Answer:

10