Question

William and Debra Pierce are celebrating their 20 th anniversary by having a reception at a local reception hall. They have budgeted $3,000 for their reception. If the reception hall charges a $ 100 cleanup fee plus $ 37 per​ person, find the greatest number of people that they may invite and still stay within their budget

Answer 1

William and Debra pierce can invite 140 people for the 20th anniversary.

Explanation:

Answer 2

The greatest number of people that they may invite is 78.

Explanation

Suppose, the number of people that they may invite is
`x`

The reception hall charges $ 37 per​ person, so the cost for
`x` number of people
`=37x` dollar. It also charges a $ 100 cleanup fee.

Given that, the maximum budget for their reception is $3000. So, the equation will be......

`37x+100\leq 3000\\ \\ 37x\leq 2900\\ \\ x\leq (2900)/(37)\\ \\ x\leq 78.378...`

As the number of people will be as a whole number, so the greatest number of people that they may invite and still stay within their budget is 78.