$\"\"$

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Last year the chess team paid $\"\"$ per hat and $\"\"$ per shirt for a total purchase of $\"\"$ .

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This year they spent $\"\"$ to buy the same number of shirts cost $\"\"$ .

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Write two system of equation.

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Let $\"\"$ represent number hats and $\"\"$ represent number of shirts.

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The number of hats and shirts sold is $\"\"$ .

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The number of hats and shirts buy is $\"\"$ .

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Solve the equation.

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$\"\"$ (First equation)

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$\"\"$ (Subtract $\"\"$ from each side)

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$\"\"$ (Apply additive inverse property: $\"\"$ )

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$\"\"$ (Divide each side by $\"\"$ )

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$\"\"$ (Cancel common terms)

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$\"\"$

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Find $\"\"$ .

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$\"\"$ (Second equation)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Apply distributive property: $\"\"$ )

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$\"\"$ (Combine like terms)

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$\"\"$ (Subtract $\"\"$ from each side)

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$\"\"$ (Apply additive inverse property: $\"\"$ )

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$\"\"$ (Multiply each side by $\"\"$ )

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$\"\"$ (Cancel common terms)

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Find $\"\"$ .

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$\"\"$ (First equation)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Multiply)

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$\"\"$ (Subtract: $\"\"$ )

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Therefore, the number of hats and shirts brought each year are $\"\"$ and $\"\"$ .

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$\"\"$

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The number of hats and shirts brought each year are $\"\"$ and $\"\"$ .