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The organizers of a talent show have budgeted $1800 to buy souvenir clothing to sell at the event. They can buy shirts for $10 each and hats for $8 each. They plan to buy at least 5 times as many shirts as hats.The organizers used these inequalities to determine the number of shirts, s, and hats, h, that can be ordered.  10s+8h≤1800h≥5s  What error did the organizers make?The inequalities should be equations.The first inequality should be 10s+8h≥1800.The second inequality should be s≥5h.The first inequality should be s+h≤1800.

Question

The organizers of a talent show have budgeted 1800tobuysouvenirclothingtosellattheevent.Theycanbuyshirtsfor1800 to buy souvenir clothing to sell at the event. They can buy shirts for 10 each and hats for $8 each. They plan to buy at least 5 times as many shirts as hats.The organizers used these inequalities to determine the number of shirts, s, and hats, h, that can be ordered.  10s+8h≤1800h≥5s  What error did the organizers make?The inequalities should be equations.The first inequality should be 10s+8h≥1800.The second inequality should be s≥5h.The first inequality should be s+h≤1800.

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Solution

The error the organizers made is in the second inequality. It should be s ≥ 5h, not h ≥ 5s. This is because they plan to buy at least 5 times as many shirts as hats.

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