Question

veronica spends 30 minutes on history homework, 60 minutes on english homework, and ( x ) minutes on math homework. one fourth of her total homework time is spent on math. which equation can be used to find the amount of time veronica spends on her math homework?

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

Explanation:

Step1: Define 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 third option)