There are red cars and blue cars in the parking lot. The ratio of blue to red is 11:6
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
173
173
581
581
53
53
172
172
To solve this problem, we need to set up a proportion with the given ratio and the number of blue cars.
Let x represent the number of red cars.
Then we can set up the proportion:
11/6 = 317/x
To solve for x, we use cross-multiplication:
11x = 6 * 317
11x = 1902
x = 1902/11
x ≈ 173
Therefore, there are approximately 173 red cars in the parking lot.
To find out the number of red cars in the parking lot, we need to calculate the total number of cars first.
Step 1: Find the common multiplier between 11 and 6. In this case, it is 66.
Step 2: Multiply the multiplier by the ratio components.
11 x 66 = 726
6 x 66 = 396
Step 3: Calculate the ratio of blue to red cars.
Since blue cars are 317, we can set up the proportion:
317/726 = x/396
Step 4: Cross-multiply and solve for x.
317 x 396 = 726x
125532 = 726x
Step 5: Divide both sides of the equation by 726.
125532/726 = x
x ≈ 172
Therefore, there are approximately 172 red cars in the parking lot.
To find out how many red cars are in the parking lot, we need to use the given ratio of blue to red cars. In this case, the ratio is 11:6.
We know that there are 317 blue cars, so we can set up a proportion to find the number of red cars. Let's call the number of red cars "x":
11/6 = 317/x
To solve for x, we can cross multiply:
11x = 317 * 6
11x = 1902
Now, let's divide both sides of the equation by 11 to solve for x:
x = 1902/11
x ≈ 172.909
Since we need to round to the nearest whole number, the approximate number of red cars in the parking lot would be 173.