Question
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.
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?
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?
Answers
GPT-4o mini
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.
\[
2x + 3y > 60
\]
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.