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

172
172

53
53

581
581

173

Answer 1

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

Given:

• The number of blue cars = 317
• The ratio of blue to red = 11:6

Let the number of red cars be \( r \).

We can set up a proportion based on the ratio:

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

Substituting the known value for blue cars:

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

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

\[ 11r = 317 \times 6 \]

Calculating the right side:

\[ 317 \times 6 = 1902 \]

Now we have:

\[ 11r = 1902 \]

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

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

Thus, the number of red cars in the parking lot is approximately 172.

Final Answer: 172