Lennox owns a big apple orchard. She ships her apples to various markets using a fleet of trucks. Every week, each truck goes on 3 trips, and for each trip Lennox gets 300 dollars. On a single trip, a truck delivers 50 packs, and each pack contains 12 kilograms of apples. Overall, Lennox sells 4500 dollars worth of apples in a week.How many trucks are in Lennox's fleet?
Q. Lennox owns a big apple orchard. She ships her apples to various markets using a fleet of trucks. Every week, each truck goes on 3 trips, and for each trip Lennox gets 300 dollars. On a single trip, a truck delivers 50 packs, and each pack contains 12 kilograms of apples. Overall, Lennox sells 4500 dollars worth of apples in a week.How many trucks are in Lennox's fleet?
Calculate income per trip: Calculate the total income per trip for one truck.Reasoning: Each trip earns \(300\) dollars.\(\newline\)Calculation: 300 dollars per trip.
Determine total trips per week: Determine the total number of trips made by all trucks in a week.Reasoning: Each truck makes 3 trips per week.Calculation: Let's denote the number of trucks as x. Total trips = 3x.
Calculate total weekly income: Calculate the total weekly income from all trips.Reasoning: Total income is the product of the number of trips and income per trip.Calculation: Total income = 3x×300 = 900x dollars.
Set up equation for trucks: Set up the equation to find the number of trucks based on total weekly income.Reasoning: We know the total weekly income from selling apples is 4500 dollars.Calculation: 900x=4500.
Solve for number of trucks: Solve for x, the number of trucks.Reasoning: Divide both sides of the equation by 900 to isolate x.Calculation: x=4500/900.
Final calculation error check: Final calculation error check.Reasoning: Check if x=5 satisfies the conditions given in the problem.Calculation: 900×5=4500 dollars, which matches the problem statement.
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