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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?

7. Julie has $250 to plan a party. There is a one-time fee of $175 to reserve a room-example-1

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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

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