Ximena needs to order some new supplies for the restaurant where she works. The restaurant needs at least 333 spoons. There are currently 255 spoons. If each set on sale contains 6 spoons, which inequality can be used to determine ss, the minimum number of sets of spoons Ximena should buy?
Answer
Multiple Choice Answers
333, is greater than or equal to, 6, s, plus, 255333≥6s+255
6, left bracket, 255, plus, s, right bracket, is less than or equal to, 3336(255+s)≤333
333, is less than or equal to, 6, s, plus, 255333≤6s+255
6, left bracket, 255, plus, s, right bracket, is greater than or equal to, 3336(255+s)≥333
333 ≤ 6s + 255
The correct inequality to determine the minimum number of sets of spoons Ximena should buy is:
333 ≤ 6s + 255
To determine the minimum number of sets of spoons Ximena should buy, we need to find the minimum value of 's' in the given inequality. Let's analyze the options:
1. 333 ≥ 6s + 255
This option states that 333 is greater than or equal to 6 times 's' plus 255. This does not represent the minimum value of 's' because it implies that Ximena can buy more spoons than necessary.
2. 6(255 + s) ≤ 333
This option states that 6 times the sum of 255 and 's' is less than or equal to 333. By solving this inequality, we find that the minimum value of 's' is less or equal to -36. This does not make sense since 's' represents the number of sets of spoons, which cannot be negative.
3. 333 ≤ 6s + 255
This option states that 333 is less than or equal to 6 times 's' plus 255. This represents the minimum value of 's' because it ensures that Ximena buys only the necessary amount of spoons.
4. 6(255 + s) ≥ 333
This option states that 6 times the sum of 255 and 's' is greater than or equal to 333. By solving this inequality, we find that the minimum value of 's' is greater or equal to 3. This option allows Ximena to buy more spoons than necessary.
Therefore, the correct inequality for determining the minimum number of sets of spoons Ximena should buy is:
333 ≤ 6s + 255