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Apples are sold in bags of four that cost $5 per bag, or bags of six that cost $6 per bag. What is the lowest cost at which you can buy 75 apples?

Question

Apples are sold in bags of four that cost 5perbag,orbagsofsixthatcost5 per bag, or bags of six that cost 6 per bag. What is the lowest cost at which you can buy 75 apples?

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Solution

To solve this problem, we need to find the most cost-effective way to buy 75 apples.

  1. First, let's calculate the cost per apple for each bag:
    • For the 4-apple bag: 5/4=5/4 = 1.25 per apple
    • For the 6-apple bag: 6/6=6/6 = 1 per apple

So, it's cheaper to buy the 6-apple bag.

  1. Now, let's see how many 6-apple bags we can buy:

    • 75 apples / 6 apples per bag = 12 bags with a remainder of 3 apples. This would cost 12 bags * 6/bag=6/bag = 72.
  2. We still need 3 more apples. We can either buy a 4-apple bag for 5or36applebagsfor5 or 3 6-apple bags for 18. It's cheaper to buy the 4

This problem has been solved

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