Question

At a sale on winter clothing, Cody bought two pairs of gloves and four hats for $43.00. Tori bought two pairs of gloves and two hats for $30.00. Find the prices of gloves and hats. Gloves-x

Hats-y

Answer 1

Explanation:

2x + 4y = 43

2x + 2y = 30....multiply by -1

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2x + 4y = 43

-2x - 2y = -30 (result of multiplying by -1)

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2y = 13

y = 13/2

y = 6.50 <=== hats cost

2x + 2y = 30

2x + 2(6.50) = 30

2x + 13 = 30

2x = 30 - 13

2x = 17

x = 17/2

x = 8.50 <=== gloves cost