Question
Mrs. vela determined that the total cost of her party, c, would be represented by the equation c = 25n + 300 where n is the number of people coming to the party. Is Mrs. vela's party cost $925, how many people attended the party
Answers
GPT-4o mini
To find out how many people attended Mrs. Vela's party, we can substitute the total cost \( c = 925 \) into the equation:
\[
c = 25n + 300
\]
Substituting \( c \) with 925:
\[
925 = 25n + 300
\]
Now, subtract 300 from both sides of the equation to isolate the term with \( n \):
\[
925 - 300 = 25n
\]
\[
625 = 25n
\]
Next, divide both sides by 25 to solve for \( n \):
\[
n = \frac{625}{25}
\]
\[
n = 25
\]
Thus, the number of people who attended the party is \( \boxed{25} \).
\[
c = 25n + 300
\]
Substituting \( c \) with 925:
\[
925 = 25n + 300
\]
Now, subtract 300 from both sides of the equation to isolate the term with \( n \):
\[
925 - 300 = 25n
\]
\[
625 = 25n
\]
Next, divide both sides by 25 to solve for \( n \):
\[
n = \frac{625}{25}
\]
\[
n = 25
\]
Thus, the number of people who attended the party is \( \boxed{25} \).