To find the number of red cars, we can use the ratio of blue to red cars, which is given as 11:6.
Let:
- \( B \) = number of blue cars
- \( R \) = number of red cars
From the ratio, we have:
\[ \frac{B}{R} = \frac{11}{6} \]
We know there are 317 blue cars, so:
\[ B = 317 \]
We can set up the equation based on the ratio:
\[ \frac{317}{R} = \frac{11}{6} \]
Cross-multiplying gives:
\[ 317 \times 6 = 11 \times R \]
Calculating \( 317 \times 6 \):
\[ 317 \times 6 = 1902 \]
Now, we have:
\[ 1902 = 11 \times R \]
To find \( R \), we divide both sides by 11:
\[ R = \frac{1902}{11} \approx 173.8181 \]
Rounding to the nearest whole number, we get \( R \approx 174 \).
Since 174 is not one of the options provided, it's clear we need to check the available answers and rounding:
The closest choice is 173.
Therefore, the number of red cars in the parking lot is 173.
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