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?

3.2x + 0.8y < 50
3.2x + 0.8y ≤ 50
0.8x + 3.2y < 50
0.8x + 3.2y ≤ 50

Answer 1

3.2x + 0.8y < 50

Explanation:

1 math book weighs 3.2 pounds , then

x maths books weigh x × 3.2 pounds = 3.2x pounds

1 workbook weighs 0.8 pounds , then

y workbooks weigh y × 0.8 pounds = 0.8y pounds

the total weight is then 3.2x + 0.8y

which cannot be more than 50 pounds, that is must be less than 50 pounds

the inequality representing this is

3.2x + 0.8y < 50