Question

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 $38 per person, find the greatest number of people that they may invite and still stay within their budget.
William and Debra can invite at most ____ people to the reception.

Please help asap! This is due today and I need help to better understand this. Tysm!

Answer 1

The greatest number of people that William and Debra may invite and still stay within their budget is 63.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Since William and Debra have budgeted $2,500 for their reception. Therefore, their total expenses should be equal to the total expenses in the reception.

Budget = Total expenses

Budget = Reception hall Cleanup charge + $38 per person fee

Let the number of people invited to the party be represented by x,

$2,500 = $100 + $38(x)

2500 = 100 + 38x

2500 - 100 = 38x

2400 = 38x

x = 2400 / 38

x = 63.157 ≈ 63

Hence, the greatest number of people that William and Debra may invite and still stay within their budget is 63.

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