Question

You areplanning a Partyon a limited budgetIn order to do so youwilldeterminecost (total) to rent a space and per person for meals if the rental space is $780 and the price is $9.75 how much will it cost to host 50 peopleIf the budget is only $1500, how many guests can I invite to the party?

Answer 1

Let p be the number of people we want to host, then we can set the following equation:

`C=780+9.75p\text{.}`

Where C is the total cost. Therefore, if p=50 we get:

`C=780+9.75(50)=1267.5\text{.}`

If the budget is $1500, setting C=1500 and solving for p we get:

`\begin{gathered} 1500=780+9.75p, \\ 1500-780=9.75p, \\ 720=9.75p, \\ (720)/(9.75)=p, \\ p=73.84. \end{gathered}`

Therefore, you can invite 73 people.

Answer: The total cost to host 50 people is $1267.5. If the budget is $1500, you can invite 73 people.