After a lady is seated in a​ restaurant, she realizes that she only has ​$22.00. If she must pay​ 7% sales tax and wishes to leave a 15​% tip on the total bill​ (meal plus​ tax), what is the maximum price of the lunch she can​ order?


The total price of lunch she can afford is ​$[]?

Respuesta :

Answer:

$17.88

Step-by-step explanation:

Let the price of the meal be p.  Then:

p(1.07) represents the price including tax but without tip.  

p(1.07)(1.15) represents the meal price (p) plus 7% sales tax and 15 % tip on the meal price plus tax.

p(1.07)(1.15) = $22 (that's all she has).  Find the meal price.  Multiplying 1.07 and 1.15 together, we get 1.2305.  Thus, 1.2305p = $22, and:

p = $22/1.2305 = $17.88.  The lady can order a meal priced at $17.88 and still have enough left out of her $22 to pay the sales tax and tip amounts.