4500 budget with 100 cleaning fee plus 35 per persom

Question

William and debra are celebrating their 20th anniversary by having a reception at a local reception hall. they have budgeted 4500 for their reception.if the reception charges a 100$ clean up fee plus 35$ per person, find the greatest number of people they may invite and still stay within their budget

Answer 1

$35 per person plus $100 fee must total to not more than $4500

 

35p + 100 ≤ 4500

35p ≤ 4400

p ≤ 4400/35

p ≤ 125.7

 

Since we cannot invite 7/10 of a person, the maximum number

of attendees is 125

 

check:  35(125)+100 = $4475

If we add 1 more person to total 126 attendees we add $35 for a total of $4510 which is too much