Question

I need help with this!! 4. Ms. Ruggiero is rewarding her best class for doing outstanding on the final exam with a virtual pizza party. The pizzas are $8.75 each. On top of buying the pizza, she buys herself an order of wings for $4.25, pays 9.25% sales tax, and tips the clerk 15% after tax. How many pizzas can she buy with $50?

Answer 1

Let's use the variable x to represent the number of pizzas Ms. Ruggiero can buy.

If each pizza is $8.75, the wings are $4.25, the tax is 9.25% and the tip is 15%, and all this needs to be lesser than or equal 50, we have the inequality:

`\begin{gathered} (8.75x+4.25)\cdot1.0925\cdot1.15\le50 \\ 10.99x+5.34\le50 \\ 10.99x\le50-5.34 \\ 10.99x\le44.66 \\ x\le(44.66)/(10.99) \\ x\le4.06 \end{gathered}`

So Ms. Ruggiero can buy 4 pizzas with $50.