Mark and Heather Starr are celebrating their 25 th anniversary by having a reception at a local reception hall. They have budgeted $ 4,000 for their reception. If the reception hall charges a $ 50 cleanup fee plus $ 30 per​ person, find the greatest number of people that they may invite and still stay within their budget.

Respuesta :

Answer:

Greatest number of people  they may invite within their budgeted [tex]x=131[/tex]

Explanation:

Given,

[tex]Budget=\$ 4000[/tex]

Clean up charges[tex]=\$ 50[/tex]

Per person charges[tex]=\$ 30[/tex]

Solution

Let the number of people they may invite is [tex]x[/tex]

[tex]\$ 30\times x+\$ 50=\$ 4000[/tex]

[tex]\$ 30\times x=\$ 4000-\$ 50[/tex]

[tex]30\times x=3950[/tex]

[tex]x=3950/30[/tex]

[tex]x=131.666[/tex]

Maximum number of people they may invite within their budgeted  [tex]x=131[/tex]

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