Question

Use this information to answer the following 4 questions: Marie has a weekly budget of \(24\)dollars, which she likes to spend on magazines and pies. If the price of a magazine is \(4\)dollars each, what is the maximum number of magazines she could buy in a week?

Short answer

The maximum number of magazines Marie can buy in a week is 6.

Step-by-step solution

Defining the variables

Let's begin by assigning the variables: M = the number of magazines Marie can buy P = the price of one magazine, which is $4 dollars B = the total budget, which is $24 dollars The problem asks for the maximum value of M.

Setting up the equation

Marie's total spending on magazines is the number of magazines multiplied by the price of each magazine (M times P). The total spending should not exceed the total budget she has. Therefore, we can set up the following equation: \(M \times P \leq B\)

Plugging in known values

We know that the price of a magazine (P) is \(4 dollars and Marie's total budget (B) is \)24 dollars. Let's plug these values into the equation: \(M \times 4 \leq 24\)

Solving for the maximum number of magazines (M)

Now, let's solve for M by dividing both sides of the inequality by 4: \(M \leq 24 \div 4\) \(M \leq 6\) The maximum number of magazines Marie can buy in a week is 6. So the answer is 6 magazines.