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Part 1
A new car has a list price of $25,50025,500. Suppose that the dealer markup on this car is 5 %.5%. To determine the dealer's cost for the car, solve the equation x plus 0.05 x equals 25,500x+0.05x=25,500 where x represents the dealer's cost for the car before markup.
Part 1
A new car has a list price of $25,50025,500. Suppose that the dealer markup on this car is 5 %.5%. To determine the dealer's cost for the car, solve the equation x plus 0.05 x equals 25,500x+0.05x=25,500 where x represents the dealer's cost for the car before markup.
Answers
GPT-4o mini
To find the dealer's cost for the car before markup, we can start with the equation that represents the situation given:
\[
x + 0.05x = 25,500
\]
This can be simplified:
\[
1x + 0.05x = 25,500
\]
Combining the terms on the left, we have:
\[
1.05x = 25,500
\]
Now, we can solve for \(x\) by dividing both sides of the equation by 1.05:
\[
x = \frac{25,500}{1.05}
\]
Calculating that gives us:
\[
x = 24,285.71
\]
So, the dealer's cost for the car before markup is approximately **$24,285.71**.
\[
x + 0.05x = 25,500
\]
This can be simplified:
\[
1x + 0.05x = 25,500
\]
Combining the terms on the left, we have:
\[
1.05x = 25,500
\]
Now, we can solve for \(x\) by dividing both sides of the equation by 1.05:
\[
x = \frac{25,500}{1.05}
\]
Calculating that gives us:
\[
x = 24,285.71
\]
So, the dealer's cost for the car before markup is approximately **$24,285.71**.