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Ben wants to have his birthday at the biwking alley with a few of his friends, but he can spend no more that $80. The bowling charges a flat fee of $45 for a private party and $5,50 per person for shoe rentals and unlimited bowling.

Write an inequality that represents the total cost of ben’s birthday for p people given his budget.

Answer :

sam4040

Answer:

[tex]5.50p+45\leq 80\\\\p\leq 6.36\\\\\Rightarrow p\leq 6[/tex]

Step-by-step explanation:

[tex]Ben\ invited\ p\ peoples\\\\[/tex]

Charges of birthday party:

[tex]Flat\ fees=\$ 45\\\\Per\ person\ charges=\$ 5.50\\\\Charges\ for\ p\ people=p\times per\ person\ charges\\\\Charges\ for\ p\ people=p\times 5.50\\\\Charges\ for\ p\ people=5.50p\\\\Total\ charges\ for\ party=flat\ fee+charges\ for\ p\ person\\\\Total\ charges\ for\ party=45+5.50p[/tex]

[tex]Ben\ has\ money=\$ 80\\\\Ben\ can\ not\ spend\ more\ than\ that.\\\\\Rightarrow Party\ charges\ for\ p\ peoples\leq 80\\\\5.50p+45\leq 80\\\\5.50p+45-45\leq 80-45\ \ \ \ \ \ \ \ \ subtract\ 45\ from\ both\ sides\\\\5.50p\leq 35\\\\p\leq \frac{35}{5.5}\\\\p\leq 6.36\approx 6\\\\p\leq 6[/tex]

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