Choose a variable inequality that describes the problem situation. Define a variable to represent the unknown quantity. Solve the inequality. State your final solution in a complete sentence with correct units.
Vladimir is expecting to wash no fewer than 154 cars at this weekend’s fundraiser. He has estimated that 4 cars will show up for every store that will let him post a flyer. If 62 people have already prepaid for their car wash, how many flyers does Vladimir need to post?
1.
Use the problem situation to answer the question.
Solve inequality:
Let x represent the number of flyers Vladimir needs to post.
The number of cars Vladimir expects to wash is at least 154, so the number of cars that will show up based on posting flyers is 154 - 62 (the number of cars that have already prepaid for the car wash).
He estimates that 4 cars will show up for every store that lets him post a flyer, so the number of stores he needs to find is at least (154 - 62) / 4.
Therefore, the inequality that describes the problem situation is (154 - 62) / 4 ≥ x.
Simplifying the inequality, we get 92 / 4 ≥ x.
Dividing both sides of the inequality by 4, we get 23 ≥ x.
Therefore, Vladimir needs to post at least 23 flyers.