Question

1. kara owns 35 books. of these books, 20% have fewer than 100 pages and 80% have 100 pages or more. complete the statement about the books kara owns. move the correct answer to each box. not all answers will be used. 7 8 20 27 28 80 kara owns \boxed{7} books with fewer than 100 pages and \boxed{7} books with 100 pages or more. 39. a shop owner offered a 20% discount off the regular price of a mirror. the amount of the discount is $3. what is the regular price of the mirror? a. $15 b. $6 c. $9 d. $18

Explanation:

Question 38

Step1: Calculate books with <100 pages

To find the number of books with fewer than 100 pages, we calculate 20% of 35.
The formula for percentage calculation is: \( \text{Number} = \text{Total} \times \text{Percentage} \)
So, \( 35 \times 20\% = 35 \times 0.2 = 7 \)

Step2: Calculate books with ≥100 pages

To find the number of books with 100 pages or more, we calculate 80% of 35.
Using the same formula: \( 35 \times 80\% = 35 \times 0.8 = 28 \)

Let the regular price of the mirror be \( x \). A 20% discount on \( x \) is $3.
The formula for discount is: \( \text{Discount} = \text{Regular Price} \times \text{Discount Percentage} \)
So, \( 20\% \times x = 3 \)
Converting 20% to a decimal: \( 0.2x = 3 \)
To solve for \( x \), divide both sides by 0.2: \( x = \frac{3}{0.2} = 15 \)

Answer:

Kara owns \(\boldsymbol{7}\) books with fewer than 100 pages and \(\boldsymbol{28}\) books with 100 pages or more.

Question 39