Chapter 3: Q.21 (page 165)

Write an inequality and also solve it to find the number of minutes you can spend on each one when you have at most $3$ hours to do homework. You spend $45$ minutes on math and You want to divide the time remaining equally among $4$ other subjects.

Short Answer

Expert verified

The inequality is $45 + 4 x \leq 180$ and the solution is $x \leq 33.45$ means $33$ minutes and $45$ seconds on each subject.

Step by step solution

Step 1. Apply the concept of Linear inequalitites

In this type of question, use the concept of making a Linear inequalities by taking a suitable variables and then do mathematical operations like addition or subtraction or division to solve the inequality.

Step 2. Finding the equation of inequality

Since,

The number of other subjects is = $4$ .

The time spent on math is = $45$ minutes.

The maximum time is = $3$ hours = $3 \times 60 = 180 \min$

Let the time spent on other four subject be x each.

So, the total time spent is = $45 + 4 x \min$ , the maximum time is $180 \min$ .

So, the equation be $45 + 4 x \leq 180$ .

Step 3. Solving for x.

Now, the equation is $45 + 4 x \leq 180$ .

Simply subtract $45$ to both side of the equation and then divide by $4$ to both side,

$\begin{array}{l} 45 + 4 x \leq 180 \\ 45 + 4 x - 45 \leq 180 - 45 \\ 4 x \leq 135 \\ \frac{4 x}{4} \leq \frac{135}{4} \\ x \leq 33.75 \end{array}$

So, it can take at most $33$ minutes and $45$ seconds on each subject.

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Write an inequality and also solve it to find the number of minutes you can spend on each one when you have at most $3$ hours to do homework. You spend $45$ minutes on math and You want to divide the time remaining equally among $4$ other subjects.

Short Answer

Step by step solution

Step 1. Apply the concept of Linear inequalitites

Step 2. Finding the equation of inequality

Step 3. Solving for x.

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Write an inequality and also solve it to find the number of minutes you can spend on each one when you have at most 3 hours to do homework. You spend 45 minutes on math and You want to divide the time remaining equally among 4 other subjects.

Short Answer

Step by step solution

Step 1. Apply the concept of Linear inequalitites

Step 2. Finding the equation of inequality

Step 3. Solving for x.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Calculus

Logic and Functions

Applied Mathematics

Decision Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Write an inequality and also solve it to find the number of minutes you can spend on each one when you have at most $3$ hours to do homework. You spend $45$ minutes on math and You want to divide the time remaining equally among $4$ other subjects.