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James and Bethany Morrison are celebrating their 10th anniversary by having a reception at a local reception hall. They have budgeted $2000 for their reception. If the reception hall charges a $90 clean up fee plus $36 per person, find the greatest number of people that they may invite and still stay within their budget.

Respuesta :

The budget is $2000.

The clean up charges is $90.

The charge per person is $36.

Let the number of person is x.

Then from the question,

[tex]\begin{gathered} 36x+90\leq2000 \\ 36x\leq1910 \\ x\leq53.05 \end{gathered}[/tex]

Thus, the greatest number of person they may invite is 53.

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