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Question
a biology class has a total of 38 students. the number of males is 8 more than the number of females. how many males and how many females are in the class? number of males: number of females:
Step1: Set up equations
Let the number of females be \(x\). Then the number of males is \(x + 8\). The total number of students is \(38\), so \(x+(x + 8)=38\).
Step2: Simplify the equation
Combine like - terms: \(2x+8 = 38\).
Subtract \(8\) from both sides: \(2x=38 - 8=30\).
Step3: Solve for \(x\)
Divide both sides by \(2\): \(x=\frac{30}{2}=15\).
Step4: Find the number of males
Since the number of males is \(x + 8\), substitute \(x = 15\) into it. The number of males is \(15+8 = 23\).
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Number of males: \(23\)
Number of females: \(15\)