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

Answer 1

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.