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Rich and Aylen are saving money to buy baseball tickets. Rich has [tex]$5 more than 3 times the amount of money Aylen has. Together, they have $[/tex]101.

Write an equation to determine how much money Rich and Aylen have together.

A. [tex]\(3x + 5 = 101\)[/tex]
B. [tex]\(x + 3x - 5 = 101\)[/tex]
C. [tex]\(x + 3x + 5 = 101\)[/tex]
D. [tex]\(x - 3x - 5 = 101\)[/tex]

Sagot :

GinnyAnswer
To determine how much money Rich and Aylen have together, let's start by assigning a variable to represent the amount of money Aylen has. Let [tex]\( x \)[/tex] represent the amount of money Aylen has.

According to the problem, Rich has [tex]$5 more than 3 times the amount Aylen has. Thus, Rich has \( 3x + 5 \) dollars. Together, they have a total of $[/tex]101. Therefore, the sum of the money both Rich and Aylen have can be written as:
[tex]\[ x + (3x + 5) = 101 \][/tex]

Now, let's simplify this equation step-by-step:

1. Combine like terms on the left side of the equation:
[tex]\[ x + 3x + 5 = 101 \][/tex]

2. Combine the [tex]\( x \)[/tex] terms:
[tex]\[ 4x + 5 = 101 \][/tex]

So, the correct equation that represents the given problem is:
[tex]\[ 4x + 5 = 101 \][/tex]

Therefore, the correct answer is:
[tex]\[ x + 3x + 5 = 101 \][/tex]
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