Question
The number of students who play competitive soccer at the granite middle school is 18 more than one-quarter the number of students who play recreation soccer. If 108 students play recreational soccer, how many students play competitive soccer.
24
27
45
72
24
27
45
72
Answers
GPT-4o mini
To solve the problem, let's denote the number of students who play competitive soccer as \( C \) and the number of students who play recreational soccer as \( R \). According to the problem:
1. We know that \( R = 108 \) (the number of students playing recreational soccer).
2. The number of students who play competitive soccer is given as \( C = \frac{1}{4}R + 18 \).
Now, we can substitute the value of \( R \) into the equation for \( C \):
\[
C = \frac{1}{4}(108) + 18
\]
Calculating \(\frac{1}{4}(108)\):
\[
\frac{1}{4} \times 108 = 27
\]
Now substituting that back into the equation for \( C \):
\[
C = 27 + 18
\]
So,
\[
C = 45
\]
Therefore, the number of students who play competitive soccer is \( \boxed{45} \).
1. We know that \( R = 108 \) (the number of students playing recreational soccer).
2. The number of students who play competitive soccer is given as \( C = \frac{1}{4}R + 18 \).
Now, we can substitute the value of \( R \) into the equation for \( C \):
\[
C = \frac{1}{4}(108) + 18
\]
Calculating \(\frac{1}{4}(108)\):
\[
\frac{1}{4} \times 108 = 27
\]
Now substituting that back into the equation for \( C \):
\[
C = 27 + 18
\]
So,
\[
C = 45
\]
Therefore, the number of students who play competitive soccer is \( \boxed{45} \).