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)
The actual answer is 173
To find the number of red cars in the parking lot, we need to determine the ratio between blue and red cars.
Step 1: Let's calculate the ratio of blue to red cars. The given ratio is 11:6, which means that for every 11 blue cars, there are 6 red cars.
Step 2: To find the number of red cars, we need to set up a proportion using the ratio of blue to red cars.
Given:
Blue cars = 317
Ratio of blue to red cars = 11:6
Let x be the number of red cars.
The proportion can be set up as:
11/6 = 317/x
Step 3: Next, we can cross-multiply the proportion:
11 * x = 6 * 317
11x = 1902
Step 4: Divide both sides of the equation by 11 to solve for x:
x = 1902 / 11
Step 5: Calculate the value of x:
x ≈ 172.9091
Step 6: Since we need to round our answer to the nearest whole number, we round x to the nearest whole number:
x ≈ 173
Therefore, there are approximately 173 red cars in the parking lot.
To find the number of red cars, we need to determine the ratio of blue to red cars and use that to find the number of red cars in relation to the number of blue cars.
First, we need to determine the ratio of blue to red cars, which in this case is 11:6. This means that for every 11 blue cars, there are 6 red cars.
Next, we are given that there are 317 blue cars in the parking lot.
To find the number of red cars, we can set up a proportion.
Let's call the number of red cars "x".
So, the proportion can be set up as:
11 blue cars / 6 red cars = 317 blue cars / x red cars
Now we can cross-multiply to solve for "x":
11 * x = 6 * 317
11x = 1902
To solve for "x", divide both sides of the equation by 11:
x = 1902 / 11
x ≈ 172.909
Since the question asks us to round to the nearest whole number, we round the number of red cars to the nearest whole number:
x ≈ 173
Therefore, there are approximately 173 red cars in the parking lot.
Let's call the number of blue cars "11x" and the number of red cars "6x" since the ratio of blue to red cars is 11:6.
If there are 317 blue cars, then 11x = 317.
Dividing by 11, we find that x = 317 / 11 = 28.81818181...
Since we need to round our answer to the nearest whole number, we can round x to the nearest whole number, which is 29.
Therefore, there are 6 * 29 = <<6*29=174>>174 red cars in the parking lot. Answer: \boxed{174}.
I apologize for the error in my previous response. Let's recalculate the number of red cars based on the correct ratio and number of blue cars given.
Given that the ratio of blue to red cars is 11:6, we can set up the equation:
(11/6) = 317/x
To solve for x, we can multiply both sides of the equation by 6 to get rid of the denominator:
11 = (317 * 6)/x
Now we can solve for x by dividing both sides of the equation by 11:
x = (317 * 6)/11
x = 174.3636...
Rounding to the nearest whole number, we find that there are 174 red cars in the parking lot. Answer: \boxed{174}.