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

172
172

581
581

173
173

53

Answer 1

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

Let:
- \( b \) = number of blue cars
- \( r \) = number of red cars

From the problem, we know:
- \( b = 317 \)
- The ratio of blue to red cars can be expressed as:

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

We can rearrange this ratio to solve for \( r \):

\[
r = \frac{6}{11} \times b
\]

Now we can substitute the value of \( b \) into the equation:

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

Calculating this gives:

\[
r = \frac{6 \times 317}{11}
\]
\[
= \frac{1902}{11}
\]
\[
\approx 172.909
\]

Rounding \( 172.909 \) to the nearest whole number gives us \( 173 \).

So, the number of red cars in the parking lot is **173**.