Question
6) Aaron paid \( \$ 19,11 \) for a lunch at Five Guys. This amount includes a tax of \( 5 \% \). What is the cost of his meal before tax?
Ask by Logan Salinas. in the United States
Mar 09,2025
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 \( x \).
Since a tax of \( 5\% \) is added, the total cost is given by:
\[
1.05x = 19.11
\]
To solve for \( x \), divide both sides by \( 1.05 \):
\[
x = \frac{19.11}{1.05}
\]
Calculate the division:
\[
x = 18.20
\]
Thus, the cost of the meal before tax is \( \$18.20 \).
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Simplify this solution Extra Insights
To find the cost of Aaron's meal before tax, we can use the formula for calculating the base price before tax. The total price paid includes both the meal cost and the tax. If Aaron paid \( \$19.11 \) and the tax rate is \( 5\% \), the equation can be set up as follows: Let \( x \) be the cost of the meal before tax. Then: \[ x + 0.05x = 19.11 \] This simplifies to: \[ 1.05x = 19.11 \] Now, divide both sides by \( 1.05 \): \[ x = \frac{19.11}{1.05} \approx 18.22 \] So, the cost of the meal before tax is approximately \( \$18.22 \).
