directions: answer the question below. for full credit, i must be able to see each step in the process that…

directions: answer the question below. for full credit, i must be able to see each step in the process that you used to solve it. that means i need to see clear evidence of your work to solve the problem. you may use kami or print this document. if you print, please be sure to provide a clear image of your work. scott does not know the amount of sales tax in the area where he is on vacation. he does recall, however, that he purchased some flip - flops that were on sale recently. the sticker price was $8.00, but they were 25% off. after tax he ended up paying a total of $6.48. now, he wants to buy a beach volleyball that costs $30.00 before tax. how much will the volleyball cost with tax included? put your answer here: ______ show your work below.
Answer
Explanation:
Step1: Calculate sale price of flip - flops
The sticker price is $8.00 and there is a 25% discount. The discount amount is $8\times0.25 = 2$. So the sale price (before tax) is $8 - 2=6$.
Step2: Find the tax rate
Let the tax rate be $r$. The total price after tax for flip - flops is $6(1 + r)=6.48$. Divide both sides by 6: $1 + r=\frac{6.48}{6}=1.08$. Then $r = 1.08 - 1=0.08$ or 8%.
Step3: Calculate volleyball price with tax
The volleyball costs $30.00 before tax. With an 8% tax, the total cost is $30\times(1 + 0.08)=30\times1.08 = 32.4$.
Answer:
$32.4$