William and Debra Pierce are celebrating their 20th anniversary by having a reception at a local reception hall. They have budgeted $2,500 for their reception. If the
reception hall charges a $100 cleanup fee plus $34 per person, find the greatest number of people that they may invite and still stay within their budget.
Round down to the nearest whole person.

Respuesta :

The couple can invite a maximum of 70 people and still stay within their budget.

The equation that can be used to represent the information provided in the question is :

total budget= clean up fee + (charge per person x p )

p presents the number of people invited

2500 = 100 + (34 x p)

2500 = 100 + 34p

Combine similar terms

2500 - 100 = 34p

2400 = 34p

Divide both sides of the equation by 34

p = 70.6

Rounding down = 70

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