Question

Gabe's retirement party will cost $25 if he invites 5 guests. What is the maximum number of guests there can be if Gabe can afford to spend a total of $50 on his retirement party? Solve using unit rates.

_ guests

Answer 1

To find the maximum number of guests Gabe can invite for his retirement party within his budget of $50, let's first determine the cost per guest.

Given that the retirement party costs $25 for 5 guests, we can find the cost per guest as follows:

\[
\text{Cost per guest} = \frac{\text{Total cost}}{\text{Number of guests}} = \frac{25}{5} = 5
\]

So, the cost per guest is $5.

Now, let's determine how many guests he can invite with a total budget of $50. We can set up the equation based on the cost per guest:

\[
\text{Total cost} = \text{Cost per guest} \times \text{Number of guests}
\]

Substituting the values we have:

\[
50 = 5 \times \text{Number of guests}
\]

To find the number of guests, we divide both sides by 5:

\[
\text{Number of guests} = \frac{50}{5} = 10
\]

Thus, the maximum number of guests Gabe can invite is:

\[
\boxed{10}
\]