Jennifer bought a pair of running shoes selling for $75. If the sales tax was 5.8%, what was the total cost of the purchase?
(B) if the shoes sold for x dollars, what would the total cost of the purchase be in terms of x?
75 * 1.058 = ?
x * 1.058 = ?
To calculate the total cost of the purchase, we need to add the sales tax to the cost of the shoes.
Step 1: Calculate the sales tax amount.
Sales tax is calculated by multiplying the cost (75) by the tax rate (5.8% or 0.058).
Sales tax = 75 * 0.058 = 4.35.
Step 2: Add the sales tax to the cost of the shoes to get the total cost.
Total cost = Cost of shoes + Sales tax = 75 + 4.35 = $79.35.
So, the total cost of Jennifer's purchase was $79.35.
For the second part of the question:
Let's consider the shoes' cost as "x" dollars.
Total cost = Cost of shoes + Sales tax = x + 0.058x = 1.058x.
Therefore, the total cost of the purchase in terms of "x" would be 1.058x.
To find the total cost of the purchase, we need to add the sales tax to the price of the shoes.
First, let's calculate the sales tax. The percentage of the sales tax is given as 5.8%.
To calculate the sales tax amount, we can multiply the price of the shoes by the sales tax rate.
Sales tax = $75 * 5.8% = $75 * 0.058 = $4.35
Next, we add the sales tax to the price of the shoes to find the total cost of the purchase.
Total cost of the purchase = Price of the shoes + Sales tax
Total cost of the purchase = $75 + $4.35 = $79.35
So, the total cost of the purchase is $79.35.
To answer part (B) of the question, if the shoes sold for x dollars, the total cost of the purchase would be x + 5.8% of x.
In other words, Total cost of the purchase = x + (0.058 * x) = (1 + 0.058) * x = 1.058 * x.
So, if the shoes sold for x dollars, the total cost of the purchase would be 1.058 times x.