Question

Marshall spends 150 minutes a night doing homework math homework takes 1/6 of that time science homework takes 20% of that time language arts homework takes 1/3 of that time what percent of the time is left for Marcia social studies homework.

Answer 1

30 percent

Explanation:

In order to solve the problem, one must take the values of the fractions, 1/6, 2/10 (achieved by converted the percentage of 20 into fraction form), and 1/3, and find the lowest common denominator.

After experimentation, one will find that the lowest common denominator is 30.

After transforming the fractions to a denominator of 30, the results are 5/30, 6/30, and 10/30.

Adding these together will grant 21/30, leaving a fraction of 9/30, which can then be simplified to 3/10, or a percentage of 30.

Therefore, the final answer is 30 percent.