Question

The 2021 senior class from JPT High School raised funds for an end-of-the-year party at Club Alpha. Itcosts $5,000 to rent out Club Alpha plus $25 per student for food and drinks. If the senior class raised$25,000 how many students can attend the end of year party?

Answer 1

For x students attend the end of the year party, the total raised value should be y:

y = 25x + 5000

since they have an initial cost of 5000 with the Club, plus 25 per student.

So, for y = 25000, the number of students x that can attend the party is:

y = 25x + 5000

25000 = 25x + 5000

In order to solve this equation, we can apply a sequence of the same operations on both sides of the equation, until we isolate the variable x and find its value:

25000 = 25x + 5000

25000 - 5000 = 25x + 5000 - 5000

20000 = 25x

20000/25 = 25x/25

800 = x

x = 800

Therefore, 800 students can attend the end of the year party.