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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 $3$ trips, and for each trip Lennox gets $300$ . On a single trip, a truck delivers $50$ packs, and each pack contains $12$ kilograms of apples. Overall, Lennox sells $4500$ worth of apples in a week. $\newline$ How many trucks are in Lennox's fleet? $\newline$ trucks

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Multi-step problems with unit conversions

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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

. On a single trip, a truck delivers

50

packs, and each pack contains

12

kilograms of apples. Overall, Lennox sells

4500

worth of apples in a week.

\newline

How many trucks are in Lennox's fleet?

\newline

trucks

Calculate Total Income: Calculate the total income per truck per week. $\newline$ Each truck goes on $3$ trips per week, and Lennox gets $300$ dollars for each trip. $\newline$ Total income per truck per week = Number of trips per truck per week $\times$ Income per trip $\newline$ Total income per truck per week = $3$ trips/week $\times$ $300$ dollars/trip $\newline$ Total income per truck per week = $900$ dollars/week
Calculate Number of Trucks: Calculate the number of trucks based on the total weekly income from all trucks. $\newline$ We know that Lennox sells $4500$ dollars worth of apples in a week. $\newline$ Number of trucks = Total weekly income from all trucks / Total income per truck per week $\newline$ Number of trucks = $\frac{4500 \text{ dollars}}{900 \text{ dollars per truck}}$ $\newline$ Number of trucks = $5$
Verify Answer: Verify the answer by checking if the number of trucks calculated can indeed generate the total weekly income. $\newline$ Total weekly income from all trucks $=$ Number of trucks $\times$ Total income per truck per week $\newline$ Total weekly income from all trucks $= 5$ trucks $\times 900$ dollars per truck $\newline$ Total weekly income from all trucks $= 4500$ dollars $\newline$ Since this matches the given total weekly income, our calculation is correct.

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