Question

Alex earns $400 a week plus $159 per car he sells. He earned $1459 He sold __ cars

Answer 1

Let's break down Alex's earnings:

Alex's total earnings can be expressed as the sum of his weekly salary and commission from selling cars. This can be modeled by the following equation:

\[
\text{Total Earned} = \text{Weekly Salary} + (\text{Commission per Car} \times \text{Number of Cars Sold})
\]

Substituting the known values:

\[
1459 = 400 + (159 \times x)
\]

where \( x \) is the number of cars sold. Now, we can solve for \( x \).

1. Subtract the weekly salary from the total earnings:
\[
1459 - 400 = 159x
\]
\[
1059 = 159x
\]

2. Now, divide both sides by 159 to find \( x \):
\[
x = \frac{1059}{159}
\]
\[
x = 6.67
\]

Since Alex can't sell a fraction of a car, it seems we need to round to the nearest whole number. Let's check the calculations for selling 6 and 7 cars:

- If he sells 6 cars:
\[
\text{Earnings} = 400 + (159 \times 6) = 400 + 954 = 1354
\]

- If he sells 7 cars:
\[
\text{Earnings} = 400 + (159 \times 7) = 400 + 1113 = 1513
\]

Since he earned $1459, it appears he sold **6 cars**, as selling 7 cars would exceed the total earnings.

Answer 2

Correction
$400 a week plus $150 per car Earned $1450

Answer 3

Let's recalculate Alex's earnings with the updated commission of $150 per car sold.

Using the same formula:

\[
\text{Total Earned} = \text{Weekly Salary} + (\text{Commission per Car} \times \text{Number of Cars Sold})
\]

Substituting the known values:

\[
1450 = 400 + (150 \times x)
\]

where \( x \) is the number of cars sold. Now, we can solve for \( x \):

1. Subtract the weekly salary from the total earnings:

\[
1450 - 400 = 150x
\]

\[
1050 = 150x
\]

2. Now, divide both sides by 150 to find \( x \):

\[
x = \frac{1050}{150}
\]

\[
x = 7
\]

Alex sold **7 cars**.