Question

Sofia needs to order some new supplies for the restaurant where she works. The restaurant needs at least 566 glasses. There are currently 371 glasses. If each set on sale contains 18 glasses, which inequality can be used to determine xx, the minimum number of sets of glasses Sofia should buy?

Answer 1

Answer:

371 + 18x ≥ 566

Step-by-step explanation:

Sofia needs to order some new supplies for the restaurant where she works. The restaurant needs at least 566 glasses. There are currently 371 glasses. If each set on sale contains 18 glasses, which inequality can be used to determine xx, the minimum number of sets of glasses Sofia should buy?

We know:

current # of glasses= 371

glasses per set= 18

glasses needed= 566

# of sets= x

At least means she can also have more than 566 glasses, so we will use the ≥ ("greater than or equal to") symbol:

glasses per set⋅# of sets+current # of glasses≥glasses needed

18x+371 ≥ 566

or, by the commutative property of addition,

371+18x ≥ 566

Inequality #2

We could also switch the two sides of the inequality, but we have to be careful which symbol we use. At least means the number of glasses needed should always be less than or equal to the glasses the restaurant has, including the glasses they already had, plus the sets Sofia bought.

Inequality #3

566 ≤ 18x+371

or

566≤ 371+18x

Inequality #4