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# Linear Diophantine Equations

What amounts of money can you make with only $5 and $7 bills? Can you make $23 with those 2 types of bills?

Jane bought 5 watermelons, 3 apples and 20 cherries for 46 dollars. Lizzy bought 2 watermelons, 5 apples and 12 cherries for 27 dollars. If the prices of a watermelon and an apple are both integers, what is the price of an apple?

Give your answer in dollars.

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