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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?
_______trucks

Lennox owns a big apple orchard. She ships her apples to various markets using a fleet of trucks. Every week, each truck goes on 33 trips, and for each trip Lennox gets 300300 dollars. On a single trip, a truck delivers 5050 packs, and each pack contains 1212 kilograms of apples. Overall, Lennox sells 45004500 dollars worth of apples in a week.\newlineHow many trucks are in Lennox's fleet?\newline_______trucks

Full solution

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 33 trips, and for each trip Lennox gets 300300 dollars. On a single trip, a truck delivers 5050 packs, and each pack contains 1212 kilograms of apples. Overall, Lennox sells 45004500 dollars worth of apples in a week.\newlineHow many trucks are in Lennox's fleet?\newline_______trucks
  1. Calculate Income per Trip: Calculate the total income per trip for one truck. Each trip earns $\(300\) dollars.
  2. Determine Number of Trips: Determine the total number of trips made by all trucks in a week. Each truck makes \(3\) trips per week.
  3. Calculate Total Weekly Income: Calculate the total weekly income from all trips made by all trucks.\(\newline\)Total weekly income = \(\text{Number of trips per truck} \times \text{Income per trip} \times \text{Number of trucks}\)\(\newline\)Given total weekly income = \(4500\) dollars,\(\newline\)\(4500 = 3 \times 300 \times \text{Number of trucks}\)
  4. Solve for Number of Trucks: Solve for the number of trucks.\(\newline\)\(4500 = 900 \times \text{Number of trucks}\)\(\newline\)\(\text{Number of trucks} = \frac{4500}{900}\)\(\newline\)\(\text{Number of trucks} = 5\)

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