IDNLearn.com: Where your questions are met with thoughtful and precise answers. Discover in-depth answers to your questions from our community of experienced professionals.

Kathryn and three of her friends went out to eat. They decided to split the bill evenly. If each person paid [tex]$\$[/tex]13[tex]$, which equation will tell you the total amount of the bill?

A. $[/tex]13x = 4[tex]$
B. $[/tex]4x = 13[tex]$
C. $[/tex]4 + x = 13[tex]$
D. $[/tex]\frac{x}{4} = 13$


Sagot :

To find the total amount of the bill, we need to set up an equation that reflects the situation provided.

Kathryn and three of her friends make a total of 4 people. Each person paid \[tex]$13. Let's denote the total amount of the bill by \( x \). Since the total bill \( x \) is equally split among 4 people, the amount each person paid can be represented as \(\frac{x}{4}\). According to the problem, each person's share is \$[/tex]13, so we set up the following equation:
[tex]\[ \frac{x}{4} = 13 \][/tex]

This equation accurately represents the total bill being divided evenly among 4 people, with each person paying \$13.

Therefore, the correct answer is:
D [tex]\(\frac{x}{4} = 13\)[/tex]