Mary is selling pizza slices and hotdogs at the football game. Alice of pizza are $2 each and got dogs are $3 each. Marys goal is to earn more than $60 selling pizza slices and hot dogs.

Question

A. Write an inequality that expresses how many slices of pizza and hot dogs Mary needs to sell to meet her goal. Let x = the number of pizza slices sold. Let y = the number of hot dogs sold.

B. If Mary sold 15 pizza slices, how many hot dogs would she need to sell to meet her goal?

Answer 1

A. To express Mary's goal of earning more than $60 selling pizza slices and hot dogs, we can set up the following inequality:

\[ 2x + 3y > 60 \]

Here, \(x\) represents the number of pizza slices sold (at $2 each), and \(y\) represents the number of hot dogs sold (at $3 each).

B. If Mary sold 15 pizza slices, we can substitute \(x = 15\) into the inequality and solve for \(y\):

\[ 2(15) + 3y > 60 \]

Calculating \(2(15)\):

\[ 30 + 3y > 60 \]

Now, subtract 30 from both sides:

\[ 3y > 30 \]

Next, divide both sides by 3:

\[ y > 10 \]

Thus, if Mary sold 15 pizza slices, she would need to sell more than 10 hot dogs to meet her goal of earning more than $60.