Question

7. Julie has $250 to plan a party. There is a one-time fee of $175 to reserve a room. It also cost $1.25 perperson for food and drinks. What is the maximum number of people that can come to the dance?

Answer 1

Julie has $250 to plan the party.

The room costs $175 to reserve plus $1.25 per person for food and drinks.

Let "x" represent the number of people she can invite, you can express the total cost for the party as follows:

`175+1.25x\leq250`

From this expression, we can determine the number of people she can invite, without exceeding the $250 budget.

The first step is to pass 175 to the right side of the expression by applying the opposite operation "-175" to both sides of it:

`\begin{gathered} 175-175+1.25x\leq250-175 \\ 1.25x\leq75 \end{gathered}`

Next, divide both sides of the equation by 1.25 to reach the value of x:

`\begin{gathered} (1.25x)/(1.25)\leq(75)/(1.25) \\ x\leq60 \end{gathered}`

She can invite up to 60 people to the party