Question

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 1

`5.50p+45\leq 80\\\\p\leq 6.36\\\\\Rightarrow p\leq 6`

Explanation:

`Ben\ invited\ p\ peoples\\\\`

Charges of birthday party:

`Flat\ fees=\$ 45\\\\Per\ person\ charges=\$ 5.50\\\\Charges\ for\ p\ people=p* per\ person\ charges\\\\Charges\ for\ p\ people=p* 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`

`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 (35)/(5.5)\\\\p\leq 6.36\approx 6\\\\p\leq 6`