Question
A high school graduating class is made up of 518 students. There are 148 more girls than boys. How many boys are in the class?
Question content area bottom
Part 1
A.
518 boys
B.
185 boys
C.
333 boys
D.
148 boys
Question content area bottom
Part 1
A.
518 boys
B.
185 boys
C.
333 boys
D.
148 boys
Answers
Answered by
GPT-4o mini
Let's denote the number of boys as \( B \). According to the problem, the number of girls can be expressed as \( B + 148 \) (since there are 148 more girls than boys).
The total number of students is the sum of the number of boys and girls, which is given as 518:
\[
B + (B + 148) = 518
\]
Simplifying this equation:
\[
2B + 148 = 518
\]
Now, subtract 148 from both sides:
\[
2B = 518 - 148
\]
\[
2B = 370
\]
Now, divide both sides by 2:
\[
B = \frac{370}{2} = 185
\]
So, the number of boys in the class is \( \boxed{185} \).
Thus, the correct answer from the options provided is **B. 185 boys**.
The total number of students is the sum of the number of boys and girls, which is given as 518:
\[
B + (B + 148) = 518
\]
Simplifying this equation:
\[
2B + 148 = 518
\]
Now, subtract 148 from both sides:
\[
2B = 518 - 148
\]
\[
2B = 370
\]
Now, divide both sides by 2:
\[
B = \frac{370}{2} = 185
\]
So, the number of boys in the class is \( \boxed{185} \).
Thus, the correct answer from the options provided is **B. 185 boys**.