Answer:
Inequality to determine number of glass sets: 10x + 230 ≥ 498
Solved inequality: x ≥ 26.8 (She needs to buy at least 27 sets)
Step-by-step explanation:
In order to write an inequality to represent this situation, you must first identify the important information:
- The restaurant needs 498 glasses total at the least
- They already have 230 glasses
- Each set of glasses has 10 glasses
Now, you can write an inequality to represent this situation:
498 (needed glasses) ≤ 230 (glasses already owned) + 10x (number of glasses in one set (x))
You can rewrite it as 10x + 230 ≥ 498 so that x is on the left and it is ordered by variable exponential value. Now you have the inequality to represent the situation, so to find the number of sets of glasses Brooklyn could buy, you need to isolate x:
10x + 230 ≥ 498 (given)
10x ≥ 268 (subtract 230 from both sides)
x ≥ 26.8 (divide both sides by 10)
So, Brooklyn needs to buy at least 27 sets since she can't buy 4/5 of a set.
