An automobile dealership has found that for every 210 cars​ sold, 26 will be brought back to the dealer for major repairs. If the dealership sells 1890 cars this​ year, approximately how many cars will be brought back for major​ repairs?

Question

  
enter your response here cars

Answer 1

To find out how many cars will be brought back for major repairs from the 1890 cars sold, we can use a proportion based on the given data.

We know that for every 210 cars sold, 26 cars are brought back for repairs. Therefore, we can set up the following proportion:

\[ \frac{26}{210} = \frac{x}{1890} \]

Where \( x \) is the number of cars expected to be brought back for repairs after selling 1890 cars.

Cross-multiply to solve for \( x \):

\[ 26 \times 1890 = 210 \times x \]

Calculating \( 26 \times 1890 \):

\[ 26 \times 1890 = 49140 \]

Now, set the equation:

\[ 49140 = 210x \]

Now divide both sides by 210 to solve for \( x \):

\[ x = \frac{49140}{210} \approx 233 \]

So, approximately 233 cars will be brought back for major repairs.