15. eliza cannot decide which of two bicycles to buy. the original price of each is $380. the first is…

15. eliza cannot decide which of two bicycles to buy. the original price of each is $380. the first is marked down by 50%. the second is marked down by 30% with an additional 20% off. which bicycle should eliza buy if the bicycles are the same except for the selling price? explain your answer.\n16. a shoe store uses a 50% markup for all of the shoes it sells. the store also charges a 10% sales tax on all purchases. what would be the purchase price, including sales tax, of a pair of shoes that has a wholesale cost of $57?

15. eliza cannot decide which of two bicycles to buy. the original price of each is $380. the first is marked down by 50%. the second is marked down by 30% with an additional 20% off. which bicycle should eliza buy if the bicycles are the same except for the selling price? explain your answer.\n16. a shoe store uses a 50% markup for all of the shoes it sells. the store also charges a 10% sales tax on all purchases. what would be the purchase price, including sales tax, of a pair of shoes that has a wholesale cost of $57?

Answer

Explanation:

Step1: Calculate the price of the first bicycle

The original price is ( $380 ). A ( 50% ) markdown means the price is ( (1 - 0.50)\times380). [ (1 - 0.50)\times380=0.5\times380 = 190 ]

Step2: Calculate the price of the second bicycle

First, a ( 30% ) markdown: the price becomes ( (1 - 0.30)\times380=0.7\times380 = 266 ). Then, an additional ( 20% ) off. The final price is ( (1 - 0.20)\times266). [ (1 - 0.20)\times266=0.8\times266=212.8 ]

Answer:

Eliza should buy the first bicycle. The price of the first bicycle is ($190) and the price of the second bicycle is ($212.8). Since (190<212.8), the first - bicycle is cheaper.

Explanation:

Step1: Calculate the price after markup

The wholesale cost is ( $57 ). A ( 50% ) markup means the price before tax is ( (1 + 0.50)\times57). [ (1 + 0.50)\times57=1.5\times57 = 85.5 ]

Step2: Calculate the price after sales - tax

The store charges a ( 10% ) sales - tax. The final price is ( (1 + 0.10)\times85.5). [ (1 + 0.10)\times85.5=1.1\times85.5 = 94.05 ]

Answer:

The purchase price, including sales tax, is ($94.05).