35) jane goes to a shoe store. the store offe...
35) jane goes to a shoe store. the store offers 25% off any pair of shoes. she decides to buy two pairs of shoes, each with a price of $34.99. how much will jane pay for the two pairs of shoes, including a 6.5% sales tax? jane goes to another state to meet her cousin, and she finds the same pairs of shoes at a markdown of 40%. the cost of each pair of shoes before the markdown is $67.00. how much will these pairs of shoes cost, including a 5% sales tax? in which situation would claire have saved more money, and by how much? explain.
Answer
# Explanation:
## Step1: Calculate the pre - tax price for the first situation
The original price of two pairs of shoes is $2\times34.99 = 69.98$.
The discount is 25%, so the price after discount is $69.98\times(1 - 0.25)=69.98\times0.75 = 52.485$.
## Step2: Calculate the total price including tax for the first situation
The sales tax is 6.5%, so the total price is $52.485\times(1 + 0.065)=52.485\times1.065 = 55.896525\approx55.90$.
## Step3: Calculate the pre - tax price for the second situation
The original price of two pairs of shoes is $2\times67 = 134$.
The discount is 40%, so the price after discount is $134\times(1 - 0.4)=134\times0.6 = 80.4$.
## Step4: Calculate the total price including tax for the second situation
The sales tax is 5%, so the total price is $80.4\times(1 + 0.05)=80.4\times1.05 = 84.42$.
## Step5: Calculate the savings in each situation
In the first situation, the original non - discounted price with tax would be $69.98\times(1 + 0.065)=69.98\times1.065 = 74.5387$. The savings is $74.5387-55.90 = 18.6387\approx18.64$.
In the second situation, the original non - discounted price with tax would be $134\times(1 + 0.05)=134\times1.05 = 140.7$. The savings is $140.7 - 84.42=56.28$.
## Step6: Compare the savings
The difference in savings is $56.28 - 18.64 = 37.64$. So, Claire saves more in the second situation by $37.64$.
# Answer:
In the first situation, Jane pays approximately $\$55.90$. In the second situation, she pays $\$84.42$. She saves more in the second situation by approximately $\$37.64$.