The cost of a book is $1 and a whole number of cents. The total cost of six copies of the book is less than $8. However, the total cost of seven copies of the same book at the same price per book is more than $8. What is the least a single copy of the book could cost

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jainveenamrata jainveenamrata · Answer 1 · 2022-07-01T11:24:59+02:00

The least cost of the book could be 115 cents or $1 and 15 cents.

Inequality is defined as an equation that does not contain an equal sign.

Let the cost of a book be $1 and 'x' cents

$1 = 100 cents

Then the cost of a book will be (100 + x) cents

The cost of 6 books will be

6(100 + x) = 600 + 6x cents

Then we have

600 + 6x < 800

6x < 800 – 600

6x < 200

x < 200/6

x < 33.33

The cost of 7 books will be

7(100 + x) = 700 + 7x cents

Then we have

700 + 7x > 800

7x > 800 – 700

7x > 100

x > 100/7

x > 14.29

Then we have

100/7 < x < 200/6

14.29 < x < 33.33

We need the cost of book to be as minimum as possible and a whole number of cents.

Therefore, x should be a whole number close to 14.29 in the given range, which is 15.

Therefore, the least cost of the book could be 115 cents or $1 and 15 cents.

More about the inequality link is given below.

https://brainly.com/question/19491153

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