Question
6) Aaron paid \( \$ 19.11 \) for a lunch at Five Guys. Tr amount includes a tax of \( 5 \% \). What is the cost of t meal before tax?
Ask by Luna Frazier. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The cost of the meal before tax is \$18.20.
Solution
Let the cost of the meal before tax be \( x \).
The tax is \( 5\% \) of \( x \), which is \( 0.05x \). Therefore, the total cost including tax is:
\[
x + 0.05x = 1.05x
\]
We know the total cost is \( \$19.11 \). Hence, we can write:
\[
1.05x = 19.11
\]
Solving for \( x \):
\[
x = \frac{19.11}{1.05} = 18.20
\]
Thus, the cost of the meal before tax is \( \$18.20 \).
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Simplify this solution Bonus Knowledge
To find the cost of the meal before tax, we need to determine what portion of the total amount covers the tax. We know that the total amount of \( \$19.11 \) includes a \( 5\% \) tax, so the equation can be set up as follows: let \( x \) be the cost of the meal before tax. We have: \[ x + 0.05x = 19.11 \] This simplifies to: \[ 1.05x = 19.11 \] Now, to find \( x \), divide both sides by \( 1.05 \): \[ x = \frac{19.11}{1.05} \approx 18.20 \] Therefore, the cost of the meal before tax is approximately \( \$18.20 \). To check your work, multiply \( 18.20 \) by \( 0.05 \) and add it to \( 18.20 \). If you get back to \( 19.11 \), you did the math right!
