Question

hiroshi spends 30 minutes on history homework, 60 minutes on english homework, and ( x ) minutes on math homework. one fourth of his total homework time is spent on math. which equation can be used to find the amount of time hiroshi spends on his math homework? (\frac{1}{4}x(30 + 60)=x) (\frac{1}{4}(x + 30 + 60)=x) (\frac{1}{4}(x)=x(30 + 60)) (\frac{1}{4}(x)=(30 + 60))

Explanation:

Step1: Find total homework time

Total time = history + English + math = \( 30 + 60 + x \) minutes.

Step2: Relate math time to total time

One fourth of total time is math time (\( x \)). So, \( \frac{1}{4}(30 + 60 + x) = x \).

Answer:

\( \frac{1}{4}(x + 30 + 60) = x \) (the second option)