Christopher needs to order some new supplies for the restaurant where he works. The restaurant needs at least 775 spoons. There are currently 355 spoons. If each set on sale contains 10 spoons, write and solve an inequality which can be used to determine ss, the number of sets of spoons Christopher could buy for the restaurant to have enough spoons.
Question
Christopher needs to order some new supplies for the restaurant where he works. The restaurant needs at least 775 spoons. There are currently 355 spoons. If each set on sale contains 10 spoons, write and solve an inequality which can be used to determine ss, the number of sets of spoons Christopher could buy for the restaurant to have enough spoons.
Solution
Let's break down the problem step by step:
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Identify the total number of spoons needed: The restaurant needs at least 775 spoons.
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Identify the current number of spoons: There are currently 355 spoons.
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Determine the number of additional spoons needed: To find out how many more spoons are needed, subtract the current number of spoons from the total number needed: So, the restaurant needs 420 more spoons.
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Determine the number of sets needed: Each set contains 10 spoons. Let be the number of sets Christopher needs to buy. The total number of spoons from sets is .
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Set up the inequality: The number of spoons from the sets plus the current number of spoons should be at least 775. Therefore, the inequality is:
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Solve the inequality: Subtract 355 from both sides of the inequality to isolate the term with : Simplify the right side: Divide both sides by 10 to solve for :
So, Christopher needs to buy at least 42 sets of spoons to ensure the restaurant has enough spoons.
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