Antonio has $350 to spend on skis.Sales tax is 6%. Decide if each description of a price and discount,plus sales tax,represents a pair of skis that Antonio can

Question

Choose Yes or no for each description based on the question.

 

A 25% off $450

 

B 20% off $385 

 

C $20 off $360

 

D 15% off $380

 

E $10 off $340

Answer 1

A No B Yes C Yes D Yes E Yes

each costs

A 357.75 > 350

B 326.48 < 350

C 305.28 < 350

D 342.38 < 350

E 349.50 < 350

take the percent off, subtract it from 1. call the percent off p, multiply (1-p) times the presale price

(1-p)P. then multiply by 1.06

(1-p)P(1.06) = the discount price + tax

for A, 25% = 0.25. 1-0.25 = 0.75

0.75(450)(1.06 = 337.50(1.06) = 357.75 > 350

it's the only skis Antonio can't afford

E is a little different, as there's no percentage discount, just 10 off

340-10 = 330.

330(1.06) = 349.8 < 350, but barely less, only 20 cents left over