Clay has $60.00. He wants to leave a 20% tip on his restaurant bill. On which bill total does Clay leave have enough money in order to leave a 20% tip?

1 answer

Let \( x \) be the total restaurant bill. The 20% tip on the bill can be calculated as \( 0.20x \).

Clay's total expenses would then be the bill amount plus the tip, which can be expressed as:

\[ x + 0.20x = 1.20x \]

Clay has $60.00, which means he can afford a total of $60.00 for both the bill and the tip. Therefore, we set up the following equation:

\[ 1.20x \leq 60 \]

To find the maximum bill total \( x \), we can solve for \( x \):

\[ x \leq \frac{60}{1.20} \]

Calculating the right side:

\[ \frac{60}{1.20} = 50 \]

Thus, the maximum total bill that Clay can afford in order to leave a 20% tip is:

\[ x \leq 50 \]

Therefore, Clay can leave a 20% tip on a restaurant bill of \( \boxed{50} \).