Question

Which problem situation can be represented by the inequality below?

4.95m + 11.95 ≤ 15.79 + 3.99m
Jacob bought a book that cost $4.95 and magazines that cost $11.95 each. Isabella bought a book that cost $15.79 and magazines that cost $3.99 each. How many magazines, m, would each person have to purchase if Jacob’s total amount is greater than Isabella’s total?

Answer 1

The inequality 4.95m + 11.95 ≤ 15.79 + 3.99m represents the situation where Jacob's total amount is greater than Isabella's total when buying a book and magazines. To solve the inequality, combine like terms, simplify, and divide both sides by 0.96 to find m ≤ 4.

Step-by-step explanation:

The inequality 4.95m + 11.95 ≤ 15.79 + 3.99m represents the situation where Jacob's total amount is greater than Isabella's total when buying a book and magazines. To solve this inequality, we can first combine like terms by subtracting 3.99m from both sides of the inequality, giving us 4.95m + 11.95 - 3.99m ≤ 15.79. Simplifying further, we get 0.96m + 11.95 ≤ 15.79. Next, we can subtract 11.95 from both sides of the inequality, resulting in 0.96m ≤ 3.84. Finally, to solve for m, we divide both sides of the inequality by 0.96, giving us m ≤ 4.