SOLUTION: The formula c=5p + 215 relates c, the total cost in dollars of hosting a birthday party at a skating rink to p, the number of people attending. A. Solve the formula c=5p + 215 f

Algebra ->  Expressions-with-variables -> SOLUTION: The formula c=5p + 215 relates c, the total cost in dollars of hosting a birthday party at a skating rink to p, the number of people attending. A. Solve the formula c=5p + 215 f      Log On


   

Question 56044: The formula c=5p + 215 relates c, the total cost in dollars of hosting a birthday party at a skating rink to p, the number of people attending.
A. Solve the formula c=5p + 215 for p.
B. If Allie's parents are willing to spend $300 for a party, how many people can attend?
(Can you help me with this problem and show me HOW to get the answer)?
Thank You
Answer by Lacey020991(49) About Me  (Show Source):
You can put this solution on YOUR website!

A. To solve for p, you would make the equation say p=
c = 5p + 215 -----subtract 215
c - 215 = 5p -----divide everything by 5
%281%2F5%29c-43=p
p=%281%2F5%29c-43
.
B. They will spend $300, which is c. p is the number of people that can come.
p=%281%2F5%29c-43 --- plug in the cost where c is
p=%281%2F5%29300-43 --- solve for p (start by multipling %281%2F5%29300)
p = 60 - 43 --- subtract 43 from 60 and you will get the number of people.
p = 17 people
.
To check your work, put your answer into the original problem
c = 5p + 215
c = 5(17) + 215
c = 85 + 215
c = 300
.
So your answer is 17 people can attend the party.