Question

mr. ishimoto ordered ( x ) new math books and ( y ) new workbooks for his class. the total weight of the box of books cannot be more than 50 pounds. if each math book weighs 3.2 pounds and each workbook weighs 0.8 pounds, which inequality represents the maximum number of each type of book that can be shipped in a single box?
options:
( 3.2x + 0.8y leq 50 )
( 0.8x + 3.2y < 50 )
( 3.2x + 0.8y < 50 )
( 0.8x + 3.2y leq 50 )

Explanation:

Step1: Determine total weight of math books

Each math book weighs 3.2 pounds, and there are \( x \) math books. So the total weight of math books is \( 3.2x \) pounds.

Step2: Determine total weight of workbooks

Each workbook weighs 0.8 pounds, and there are \( y \) workbooks. So the total weight of workbooks is \( 0.8y \) pounds.

Step3: Determine total weight and inequality

The total weight of all books is the sum of the weight of math books and workbooks, which is \( 3.2x + 0.8y \) pounds. The problem states that the total weight cannot be more than 50 pounds, which means the total weight is less than or equal to 50 pounds. So the inequality is \( 3.2x + 0.8y \leq 50 \).

Answer:

\( 3.2x + 0.8y \leq 50 \) (the first option in the given choices)