To analyze the ratio of trucks to cars in the grocery store parking lot, which is given as 2 to 3, we can break this down:
- Let the number of trucks be 2x and the number of cars be 3x for some positive integer x.
Now, we can evaluate each statement:
A. Two out of every five vehicles in the parking lot are trucks.
- The total number of vehicles is 2x (trucks) + 3x (cars) = 5x.
- The proportion of trucks is \( \frac{2x}{5x} = \frac{2}{5} \), which is correct. This statement could be true but isn’t necessarily always accurate since it's dependent on the total number of vehicles.
B. For every three cars in the parking lot, there are two trucks.
- This corresponds directly with the ratio provided, where for every 3 cars, there are indeed 2 trucks. This statement is always true.
C. Three out of every five vehicles in the parking lot are cars.
- The proportion of cars is \( \frac{3x}{5x} = \frac{3}{5} \). This is accurate and true based on the ratio provided, although the first statement already covers the trucks’ proportion.
D. For every three trucks in the parking lot, there are five cars.
- This compares the number of trucks to cars inversely with the given ratio. According to the original ratio (2:3), for every 2 trucks, there are 3 cars. Therefore, this statement is not accurate based on the provided ratio.
Given the analysis, the statement that is ALWAYS true is B. For every three cars in the parking lot, there are two trucks.
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