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Mary bought 3 cups and 4 plates for 371 dollars each plate is 14 dollar more than a cup how much does a cost of the plate?

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Answer to a math question Mary bought 3 cups and 4 plates for 371 dollars each plate is 14 dollar more than a cup how much does a cost of the plate?

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Seamus
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Let x and y represent the prices of one plate and one cup. Equation 1: 4x+3y=371 Equation 2: x-y=14 Using equation 2, solve for y in terms of x. y=x-14 By substitution, solve for x using equation 1. 4x+3\left(x-14\right)=371, 7x=413, x=\frac{413}{7}=59 So, each plate costs $59.

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