Math Problem Statement

Isa finished 30% of his homework in 27 minutes. How many more minutes will it take Isa to complete his homework, assuming that he works at the same pace?

Solution

Let's solve the problem step by step.

Problem:

Isa finished 30% of his homework in 27 minutes. We need to determine how many more minutes it will take Isa to complete his homework at the same pace.

Step 1: Calculate the total time required to complete the homework.

If 30% of the homework takes 27 minutes, we can set up a proportion to calculate the time needed for 100% of the homework.

30%27 minutes=100%x minutes\frac{30\%}{27 \text{ minutes}} = \frac{100\%}{x \text{ minutes}}

Solving for xx (total time):

x=100×2730=90 minutesx = \frac{100 \times 27}{30} = 90 \text{ minutes}

Step 2: Find how many more minutes Isa needs.

Since Isa has already spent 27 minutes, the remaining time is:

90 minutes27 minutes=63 minutes90 \text{ minutes} - 27 \text{ minutes} = 63 \text{ minutes}

Answer:

The answer is (A) 63 minutes.

Would you like further clarification on any part of this? Here are some related questions to practice:

  1. If Isa finished 25% of his homework in 20 minutes, how much time would it take him to complete the entire homework?
  2. What percentage of homework has Isa completed after working for 45 minutes at the same pace?
  3. If Isa works for 15 more minutes, how much total homework will he have completed?
  4. How long will it take Isa to finish 50% of his homework at the same pace?
  5. What is the rate (in percentage per minute) at which Isa completes his homework?

Tip: Using proportions is a powerful way to solve problems involving percentages and time!

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Math Problem Analysis

Mathematical Concepts

Percentages
Proportions
Algebra

Formulas

\(\frac{part}{whole} = \frac{time\ spent}{total\ time}\)
\(total\ time = \frac{100 \times time\ spent}{percentage\ completed}\)

Theorems

Basic Proportion Theorem

Suitable Grade Level

Grades 6-8