Question
Gina wants to have a magician for her birthday party. She has $102 to spend to have a magician come there is an initial $24 +26 per hour. How many hours can Gina have a magician stay
Answers
GPT-4o mini
To determine how many hours Gina can afford to have a magician, we can start by defining the total cost formula based on the given pricing structure.
The total cost \( C \) for hiring the magician can be expressed as:
\[
C = 24 + 26h
\]
where \( h \) is the number of hours the magician stays.
Since Gina has a budget of $102, we can set up the equation:
\[
24 + 26h \leq 102
\]
Subtracting 24 from both sides gives:
\[
26h \leq 78
\]
Next, we divide both sides by 26:
\[
h \leq \frac{78}{26}
\]
Calculating the right side gives:
\[
h \leq 3
\]
Thus, Gina can have the magician stay for a maximum of 3 hours.
The total cost \( C \) for hiring the magician can be expressed as:
\[
C = 24 + 26h
\]
where \( h \) is the number of hours the magician stays.
Since Gina has a budget of $102, we can set up the equation:
\[
24 + 26h \leq 102
\]
Subtracting 24 from both sides gives:
\[
26h \leq 78
\]
Next, we divide both sides by 26:
\[
h \leq \frac{78}{26}
\]
Calculating the right side gives:
\[
h \leq 3
\]
Thus, Gina can have the magician stay for a maximum of 3 hours.