2. The grocery store parking lot will hold a total of 1000 vehicles. 2/5 of the parking spaces are for cars. When Luca went to buy groceries, there were 200 cars and some trucks in the parking lot. The parking lot was 3/4 full. How many trucks were in the parking lot?
Show your work in an organized manner in order to receive full marks.
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First we need to determine how many total vehicles were in the parking lot when Luca went to buy groceries. Since the parking lot was 3/4 full, we can calculate:
3/4 * 1000 = 750 total vehicles in the parking lot
Next, we need to figure out how many parking spaces were for cars:
2/5 * 1000 = 400 parking spaces for cars
Since there were 200 cars in the parking lot, that means there were:
750 total vehicles - 200 cars = 550 trucks in the parking lot
Therefore, there were 550 trucks in the parking lot when Luca went to buy groceries.