Griffiths King
12/06/2023 · Junior High School
20. If your total after a \( 15 \% \) tip and \( 10.25 \% \) tax was \( \$ 86.37 \); then what was your total before tax? a. \( \$ 74.85 \) b. 65.89 c. 74.23 d. 68.12
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To find the total before tax, we need to work backwards from the total amount after the tip and tax have been added.
Let \( x \) be the total before tax. The tax is \( 10.25\% \) of \( x \), and the tip is \( 15\% \) of the total after tax.
1. First, calculate the total after tax:
\[
\text{Total after tax} = x + 0.1025x = 1.1025x
\]
2. Now, calculate the total after the tip is added:
\[
\text{Total after tip} = 1.15 \times (1.1025x) = 1.15 \times 1.1025x = 1.268875x
\]
3. We know that this total equals \( 86.37 \):
\[
1.268875x = 86.37
\]
4. Now, solve for \( x \):
\[
x = \frac{86.37}{1.268875} \approx 68.12
\]
Thus, the total before tax is approximately \( \$ 68.12 \).
The correct answer is:
**d. \( 68.12 \)**
Quick Answer
The total before tax is approximately \( \$ 68.12 \).
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