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Mathematics - Equations

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A discount store sold plastic cups for $3.50 each and ceramic cups for $4 each. If 400 cups were sold for a total of $1,458, how many cups of each type were sold? What was the dollar value of each type of cup sold?

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Let the price of a plastic cup be x and that of a ceramic cup be y.

By data, we have

3.5x + 4y = 1458 ...

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