There are red cars and blue cars in the parking lot. The ratio of blue to red is 11:6

Question

. 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

173
173

53
53

172
172

581

Answer 1

To find the number of red cars, we can use the given ratio of blue to red cars, which is 11:6.

Let the number of red cars be represented by \( r \). According to the ratio:

\[ \frac{\text{blue cars}}{\text{red cars}} = \frac{11}{6} \]

We know there are 317 blue cars, so we can set up the equation:

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

Now, cross-multiply:

\[ 317 \times 6 = 11 \times r \]

This simplifies to:

\[ 1902 = 11r \]

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

\[ r = \frac{1902}{11} \approx 172 \]

Therefore, the number of red cars is approximately 172.

Rounded to the nearest whole number, the answer is:

172