Did John Profit from His Apple Sales Strategy?

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In summary, John bought 846 boxes of apples containing 2538 kg of fruit, paying \$10 per box. He then sold the apples at \$9 per bag, with each bag containing 2.35 kg of fruit. After deducting the cost of purchase, he made a profit of \$1260.
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maxkor
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John bought a certain amount of apples packed in boxes containing after three kilograms of fruit, paying for each 10 dollars . Then sold all the apples purchased at a price 9 dollars per bag, but each of the bags contains only 2.35 kilograms of fruit. How many kilograms of apples bought John, if the sale of all the apples was (after deducting the cost of purchase) 1260 dollars?
 
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Hello, maxkor!

John bought apples packed in boxes containing 3 kg of fruit, paying \$10 per box.
Then he sold the apples at \$9 per bag; each bag contains 2.35 kg of fruit.
How many kg of apples did John buy, if the profit was \$1260 dollars?

Let [tex]b[/tex] = number of boxes of apples that John bought.

His cost was [tex]10b[/tex] dollars.

He bought $3b$ kg of apples.

He divided them into $\frac{3b}{235}$ bags and sold them at \$9 each.
His revenue is: $9\left(\frac{3b}{2.3}\right) \,=\,\frac{27b}{2.35}$ dollars.

His profit is \$1260.
There is our equation! $\;\;\frac{27b}{2.35} - 10b \:=1260 $

Answer: [tex]\:b \:=\: 846\text{ boxes} \:=\:2538\text{ kg apples}[/tex]

 

FAQ: Did John Profit from His Apple Sales Strategy?

1. How many kilograms of apples are in a pound?

In general, there are 0.453592 kilograms (kg) in a pound (lb). Therefore, if you have 1 kg of apples, that would be approximately 2.20462 lbs of apples.

2. How do I convert pounds of apples to kilograms?

To convert from pounds (lbs) to kilograms (kg), you can use the conversion factor of 0.453592. Simply multiply the number of pounds by 0.453592 to get the equivalent amount in kilograms.

3. How many apples are in 1 kilogram?

The number of apples in 1 kilogram will vary depending on the size and weight of the apples. On average, 1 kilogram of apples could contain anywhere from 3-6 apples.

4. How much does 1 kilogram of apples cost?

The cost of 1 kilogram of apples will depend on the type and quality of the apples, as well as the location and time of purchase. It is best to check with your local grocery store or farmer's market for current prices.

5. How many kilograms of apples should I buy for a recipe?

The amount of apples needed for a recipe will depend on the specific recipe and desired serving size. It is best to refer to the recipe for the exact amount needed. As a general guide, 1 kilogram of apples could yield around 8-10 medium-sized apples.

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