There are red cars and blue cars in the parking lot the ratio of blue to Red is 11 to 6 there are 317 blue cars how many red cars are in the parking lot around your answer to the nearest whole number a172 b581 c 53 d173

1 answer

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

Let's denote:

  • the number of blue cars as \( B = 317 \)
  • the number of red cars as \( R \)

From the ratio \( \frac{B}{R} = \frac{11}{6} \), we can express this relationship as:

\[ B = \frac{11}{6}R \]

We can rearrange this to solve for \( R \):

\[ R = \frac{6}{11}B \]

Substituting \( B = 317 \):

\[ R = \frac{6}{11} \times 317 \]

Calculating this:

\[ R = \frac{6 \times 317}{11} \approx \frac{1902}{11} \approx 172.9091 \]

Rounding to the nearest whole number, we get:

\[ R \approx 173 \]

Thus, the number of red cars in the parking lot is 173. The answer is d) 173.