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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 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?

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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 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?
  1. Calculate total trips: Determine the total number of trips made by the trucks in a week.\newlineSince each truck makes 33 trips per week, we need to find out how many trucks are there to calculate the total number of trips. We can do this by dividing the total weekly earnings by the earnings per trip.\newlineTotal weekly earnings = $4500\$4500\newlineEarnings per trip = $300\$300\newlineNumber of trips in a week = Total weekly earnings ÷\div Earnings per trip\newlineNumber of trips in a week = $4500÷$300\$4500 \div \$300
  2. Calculate trips: Calculate the number of trips.\newline$4500÷$300=15\$4500 \div \$300 = 15 trips\newlineSo, there are 1515 trips made in total by the fleet of trucks in a week.
  3. Calculate total packs: Determine the total number of packs delivered in a week.\newlineSince each trip delivers 5050 packs, we can find the total number of packs delivered in a week by multiplying the number of trips by the number of packs per trip.\newlineTotal number of packs per week == Number of trips in a week ×\times Number of packs per trip\newlineTotal number of packs per week =15×50= 15 \times 50
  4. Calculate packs: Calculate the total number of packs delivered in a week.\newline15×50=75015 \times 50 = 750 packs\newlineSo, 750750 packs of apples are delivered in a week.
  5. Calculate total weight: Determine the total weight of apples sold in a week.\newlineSince each pack contains 1212 kilograms of apples, we can find the total weight by multiplying the total number of packs by the weight per pack.\newlineTotal weight of apples per week =Total number of packs per week×Weight per pack= \text{Total number of packs per week} \times \text{Weight per pack}\newlineTotal weight of apples per week =750×12 kg= 750 \times 12 \, \text{kg}
  6. Calculate weight: Calculate the total weight of apples sold in a week.\newline750×12750 \times 12 kg = 90009000 kg\newlineSo, Lennox sells 90009000 kilograms of apples in a week.
  7. Calculate price per kilogram: Calculate the price per kilogram of apples.\newlineTo find out how much Lennox gets for a single kilogram of apples, we divide the total weekly earnings by the total weight of apples sold in a week.\newlinePrice per kilogram = Total weekly earnings ÷\div Total weight of apples per week\newlinePrice per kilogram = $4500÷9000 kg\$4500 \div 9000\,\text{kg}
  8. Calculate price: Calculate the price per kilogram of apples.\newline$4500÷9000 kg=$0.50 per kg\$4500 \div 9000 \, \text{kg} = \$0.50 \, \text{per kg}\newlineSo, Lennox gets $0.50\$0.50 for a single kilogram of apples.

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