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Six pairs of shoes cost as much as 1 coat, 2 pairs of jeans cost as much as 3 pairs of shoes, and 4pairs of socks cost as much as one pair of jeans. How many coats could I exchange for 64 pairs ofsocks?

Question

Six pairs of shoes cost as much as 1 coat, 2 pairs of jeans cost as much as 3 pairs of shoes, and 4pairs of socks cost as much as one pair of jeans. How many coats could I exchange for 64 pairs ofsocks?

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Solution

First, let's find out how many pairs of jeans you can get for 64 pairs of socks. Since 4 pairs of socks cost as much as one pair of jeans, you can exchange 64 pairs of socks for 64/4 = 16 pairs of jeans.

Next, let's find out how many pairs of shoes you can get for 16 pairs of jeans. Since 2 pairs of jeans cost as much as 3 pairs of shoes, you can exchange 16 pairs of jeans for 16 * (3/2) = 24 pairs of shoes.

Finally, let's find out how many coats you can get for 24 pairs of shoes. Since 6 pairs of shoes cost as much as 1 coat, you can exchange 24 pairs of shoes for 24/6 = 4 coats.

So, you could exchange 64 pairs of socks for 4 coats.

This problem has been solved

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