Question

The ratio of blue cars to red cars is 11:6 there are 317 blue cars. How many red cars are there

Answer 1

To find the number of red cars, we can use the given ratio of blue cars to red cars, which is 11:6. This means that for every 11 blue cars, there are 6 red cars.

Given that there are 317 blue cars, we can set up a proportion based on the ratio:

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

where \( x \) is the number of red cars. We can cross-multiply to solve for \( x \):

\[
11x = 6 \times 317
\]

Calculating \( 6 \times 317 \):

\[
6 \times 317 = 1902
\]

Now, we have:

\[
11x = 1902
\]

Next, divide both sides by 11 to find \( x \):

\[
x = \frac{1902}{11}
\]

Calculating \( \frac{1902}{11} \):

\[
x = 173.8181 \ldots
\]

Since the number of cars must be a whole number, we check our calculations again. To cross-verify, let's simplify the ratio format we used:

1. The total parts of the ratio \( 11 + 6 = 17 \).
2. Each part represents \( \frac{317}{11} = 28.8181 \) cars per part approximately.
3. The red cars part can be obtained from \( 6 \times 28.8181 = 173 \).

Thus, the number of red cars is **173**.