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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 :

GinnyAnsweridn
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]
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