Answer :
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]
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]
