Question

1. John has $200 to plan a dance. There is a one time fee of $150 to reserve a room. It also costs $1.50 per person for food and drinks, What is the maximum number of people that can come to the dance? Write the inequality for this scenario.​

Answer 1

33 people.

Inequality:
`150 + 1.50x \leq 200`

Explanation:

200 dollar budget.

-150 for a one-time fee.

50 dollars left over.

50 divided by 1.50 equals 33.333

It is impossible to have 0.333 of a person, so you round down because John cannot afford 34 people.

So the answer is 33.