Romita gets the sushi lunch special at Yoshi's. By using a coupon she receives $2.00 off the regular price p. Her total cost including 20 percent for tax and tip is $9.00. What is p the regular price of the lunch special?

3 answers

Her preliminary cost (prior to tax and tip) is regular price (p) - 2.

Tax and tip is 20% of this preliminary cost, so total cost is 9 = 1.2(p - 2).

p = $9.50. (Nice coupon, there...)
2.00=p
9.00=20

9.00p=2.00x20
9.00p=40
p=4.4
C = (p-2)1.2 = 9.00, p = $9.50.