To determine the amount of the tip for Delilah and her friends based on a 25% gratuity on a [tex]$\$[/tex]140[tex]$ bill, follow these steps:
1. Understand the Problem:
- You are given a bill amount of $[/tex]\[tex]$140$[/tex].
- They want to give a 25% gratuity.
2. Express the Gratuity as a Decimal:
- A percentage is converted to a decimal by dividing by 100.
- [tex]\( 25\% = \frac{25}{100} = 0.25 \)[/tex]
3. Calculate the Tip:
- Multiply the bill amount by the gratuity percentage expressed as a decimal to find the tip amount.
- [tex]\( \text{Tip Amount} = 140 \times 0.25 \)[/tex]
4. Compute the Result:
- Performing this multiplication, we get:
[tex]\[
140 \times 0.25 = 35
\][/tex]
So, the amount of the tip is \$35.00. This is the gratuity Delilah and her friends should leave for the excellent service they received.