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?

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!