## She is bringing servers copies of her latest book in her suitcase. The suitcase itself weighs 5 pounds , and each book weighs 3 pounds. Her

Question

She is bringing servers copies of her latest book in her suitcase. The suitcase itself weighs 5 pounds , and each book weighs 3 pounds. Her full suitcase can weigh no more than 50 pounds . Explain and defend if Charlene will be allowed to bring 20 books with her. Write an equation or inequality to represent the problem situation

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2 months 2021-07-25T17:04:41+00:00 2 Answers 1 views 0

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Step-by-step explanation:

Charlene cannot bring 20 books because the weight of her luggage will be more than the permitted weight. She can only bring at most 15 books

We can represent this inequality as:

5 + 3x ≤ 50

Step-by-step explanation:

Whenever we are dealing with inequalities, a good trick is to solve the problem using an “equals to” sign and change it to the “inequality” sign at the last minute.

Let us assume that she carries x books.

The weight of her suitcase + the weight of all the 3-pound books must not be more than 50 pounds.

We can represent this inequality as:

5 + 3x ≤ 50

having said this, to find the value of x, which is the maximum number of books she is allowed to carry.

To do this, we replace the inequality sign with the “equals to” sign

5 + 3x = 50

from this, we have that

3x = 45;

x = 45/3

x = 15 books

From this, we can see that Charlene is not allowed to carry more than 15 books.

i.e x ≤ 15

Charlene cannot bring 20 books because the weight of her luggage will be more than the permitted weight. She can only bring at most 15 books