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Using units to solve problems
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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
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Khan Academy $\newline$ Get Al Tutoring $\newline$ NEW $\newline$ Donate $\newline$ Using units to solve problems $\newline$ You might need: : Calculator $\newline$ 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. $\newline$ How many trucks are in Lennox's fleet? $\newline$ trucks $\newline$ Show Calculator $\newline$ $2$ of $4$ $\newline$ Skip

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Solve proportions: word problems

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Using units to solve problems

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You might need: : Calculator

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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.

\newline

How many trucks are in Lennox's fleet?

\newline

trucks

\newline

Show Calculator

\newline

2

of

4

\newline

Skip

Calculate income per trip: Calculate the total income per trip for one truck. $\newline$ 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. $\newline$ Reasoning: Each truck makes $3$ trips per week. $\newline$ 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. $\newline$ Reasoning: Total income is the product of the number of trips and income per trip. $\newline$ Calculation: Total income = $3x \times 300$ = $900x$ dollars.
Set up equation for trucks: Set up the equation to find the number of trucks based on total weekly income. $\newline$ Reasoning: We know the total weekly income from selling apples is $4500$ dollars. $\newline$ Calculation: $900x = 4500$ .
Solve for number of trucks: Solve for $x$ , the number of trucks. $\newline$ Reasoning: Divide both sides of the equation by $900$ to isolate $x$ . $\newline$ Calculation: $x = 4500 / 900$ .
Final calculation error check: Final calculation error check. $\newline$ Reasoning: Check if $x = 5$ satisfies the conditions given in the problem. $\newline$ Calculation: $900 \times 5 = 4500$ dollars, which matches the problem statement.

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