Alejandro bought ff folders that cost $0.20 each and mm markers that cost $0.55 each. Sales tax is 8%. Which expression represents the total amount Alejandro paid, including tax?
Answer
Multiple Choice Answers
left parenthesis, 0, point, 2, f, plus, 0, point, 5, 5, m, right parenthesis, plus, 0, point, 0, 8, left parenthesis, 0, point, 2, f, plus, 0, point, 5, 5, m, right parenthesis(0.2f+0.55m)+0.08(0.2f+0.55m)
0, point, 2, left parenthesis, 0, point, 0, 8, f, right parenthesis, plus, 0, point, 5, 5, left parenthesis, 0, point, 0, 8, m, right parenthesis0.2(0.08f)+0.55(0.08m)
0, point, 0, 8, left parenthesis, f, plus, m, right parenthesis, plus, left parenthesis, f, plus, m, right parenthesis0.08(f+m)+(f+m)
0, point, 0, 8, left parenthesis, 0, point, 2, plus, 0, point, 5, 5, right parenthesis, plus, left parenthesis, 0, point, 2, plus, 0, point, 5, 5, right parenthesis0.08(0.2+0.55)+(0.2+0.55)
1 answer
To find the total amount Alejandro paid, including sales tax, we start by determining the cost of the folders and markers:
- Cost of folders: \(0.20f\) (where \(f\) is the number of folders)
- Cost of markers: \(0.55m\) (where \(m\) is the number of markers)
The total cost before tax is given by the expression:
\[
0.20f + 0.55m
\]
Next, we add the sales tax of 8%. The total cost after tax is calculated as follows:
\[
\text{Total cost after tax} = (\text{Total cost before tax}) + \text{Sales tax}
\]
\[
= (0.20f + 0.55m) + 0.08(0.20f + 0.55m)
\]
\[
= (0.20f + 0.55m)(1 + 0.08)
\]
Thus, the expression that represents the total amount Alejandro paid, including tax, is:
\[
(0.20f + 0.55m) + 0.08(0.20f + 0.55m)
\]
Looking at the provided multiple-choice answers, the correct one is:
\[
(0.2f + 0.55m) + 0.08(0.2f + 0.55m)
\]