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)
O 53
O 172
581
173
To find the number of red cars in the parking lot, we can use the given ratio between blue and red cars.
The ratio of blue to red cars is given as 11/6. This means that for every 11 blue cars, there are 6 red cars.
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:
11 blue cars / 6 red cars = 317 blue cars / x red cars
Cross-multiplying, we get:
11x = 317 * 6
11x = 1902
Simplifying, we find:
x = 1902 / 11
x ≈ 172.909
Rounding to the nearest whole number, we find that there are approximately 173 red cars in the parking lot.
Therefore, the nearest whole number of red cars in the parking lot is 173.
Answer: 173
To find the number of red cars, we first need to find the total number of cars in the parking lot.
Since the ratio of blue to red cars is 11/6, we can set up the following equation:
11/6 = 317/x
To solve for x (the total number of cars), we can cross multiply:
11x = 6 * 317
11x = 1902
Dividing both sides of the equation by 11, we get:
x = 1902/11
x ≈ 172.91
Since we need to round to the nearest whole number, the total number of cars is approximately 173.
To find the number of red cars, we subtract the number of blue cars (317) from the total number of cars (173):
173 - 317 ≈ -144
Since we cannot have a negative number of cars, we can conclude that there are no red cars in the parking lot.
Therefore, the answer is 0.
To find the number of red cars in the parking lot, we need to set up a proportion using the given ratio.
First, let's assign variables. Let B represent the number of blue cars, and R represent the number of red cars.
The ratio of blue to red cars is 11/6, which means for every 11 blue cars, there are 6 red cars. We can set up the proportion:
B / R = 11 / 6
We are given that there are 317 blue cars, so we substitute B with 317:
317 / R = 11 / 6
Now, cross-multiply to solve for R:
317 * 6 = 11 * R
1902 = 11R
Divide both sides by 11:
R = 1902 / 11
R ≈ 172.909
Since we are asked to round our answer to the nearest whole number, the number of red cars in the parking lot is 173 (closest whole number to 172.909).
Therefore, the answer is 173.