Question

There are red cars and blue cars in the parking lot. The ratio of blue to red is 11:6. There are 317 blue cars. How many red cars are in the parking lot? Round your answer to the nearest whole number.(1 point)
Responses

53
53

581
581

173
173

172

Answer 1

The ratio of blue cars to red cars is given as 11:6. This means that for every 11 blue cars, there are 6 red cars.

Let the number of red cars be \( r \). According to the ratio, we can set up the following relation based on the number of blue cars (which is given as 317):

\[
\frac{11}{6} = \frac{317}{r}
\]

To solve for \( r \), we can cross-multiply:

\[
11r = 6 \times 317
\]

Calculating the right side:

\[
6 \times 317 = 1902
\]

So we have:

\[
11r = 1902
\]

Now, divide both sides by 11 to find \( r \):

\[
r = \frac{1902}{11} \approx 173.0909
\]

Rounding this to the nearest whole number, we get:

\[
r \approx 173
\]

Thus, the number of red cars in the parking lot is \( \boxed{173} \).