Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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 $300\$300. On a single trip, a truck delivers 5050 packs, and each pack contains 1212 kilograms of apples. Overall, Lennox sells $4500\$4500 worth of apples in a week.\newlineHow much does Lennox get for a single kilogram of apples?\newlinedollars per kilogram\newline

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 $300\$300. On a single trip, a truck delivers 5050 packs, and each pack contains 1212 kilograms of apples. Overall, Lennox sells $4500\$4500 worth of apples in a week.\newlineHow much does Lennox get for a single kilogram of apples?\newlinedollars per kilogram\newline
  1. Calculate Total Trips: First, let's determine the total number of trips made by the fleet of trucks in a week.\newlineWe know that each truck goes on 33 trips every week.\newlineHowever, we are not given the number of trucks in the fleet. Since we cannot determine the total number of trips without this information, we need to assume that the total income from the trips is solely from one truck making 33 trips, as the problem states that Lennox sells 45004500 dollars worth of apples in a week.\newlineTotal trips per week = 33 trips per truck * 11 truck = 33 trips.
  2. Calculate Total Income: Next, we calculate the total income from these trips.\newlineWe know that Lennox gets $\(300\) for each trip.\(\newline\)Total income from trips = \(300 dollars per trip \)\times \(3\)\( trips = \)\(900\) dollars.
  3. Compare Total Income to Sales: Now, we compare the total income from the trips to the total weekly sales to see if they match.\(\newline\)The problem states that Lennox sells \(4500\) dollars worth of apples in a week.\(\newline\)Since the total income from the trips (\(900\) dollars) does not match the total weekly sales (\(4500\) dollars), we can infer that there are more trucks in the fleet. However, we do not have enough information to determine the exact number of trucks.\(\newline\)This is a discrepancy in the problem, and we cannot proceed with the calculation without additional information.

More problems from Solve proportions: word problems