Jen makes $5.00 per hour more than Tiffany. If 12 times Jen's rate plus 3 times Tiffany's rate is $80.00, what is Jen's hourly age?
J = 5+T so T = J-5
12 J + 3 T = 80
12 J + 3 (J-5) = 80
12 J + 3 J -15 = 80
15 J = 95
J = 6 1/3
check
then T = 1 1/3
12(6 1/3) + 3( 1 1/3) = ?
72 + 4 + 3 + 1 = 80 sure enough
To find Jen's hourly wage, let's assume Tiffany's hourly wage is "x."
According to the given information, Jen makes $5.00 per hour more than Tiffany. Therefore, Jen's hourly wage would be "x + $5.00."
The problem states that 12 times Jen's hourly rate plus 3 times Tiffany's hourly rate is equal to $80.00. So, we can set up an equation:
12(x + $5.00) + 3x = $80.00
Now let's solve the equation to find the value of x:
12x + $60.00 + 3x = $80.00
15x + $60.00 = $80.00
15x = $80.00 - $60.00
15x = $20.00
x = $20.00 / 15
x = $1.33
So Tiffany's hourly wage is $1.33.
To find Jen's hourly wage, we substitute the value of x into the expression "x + $5.00":
Jen's hourly wage = $1.33 + $5.00 = $6.33
Therefore, Jen's hourly wage is $6.33.