Crew receives a check for $5100. The journeyman makes 300% of what the apprentice makes and the master makes 150% of what the journeyman makes. How much do they each make?
Thanks!
If x = apprentice $, then journeyman = 3x and master = 3x * 1.5
x + 3x + 4.5x = 5100
Solve for x, then the others.
To find out how much each person makes, we first need to determine the apprentice's wage. Let's call the apprentice's wage "x."
According to the information provided, the journeyman makes 300% of what the apprentice makes. This can be expressed as:
Journeyman's wage = 3 * the apprentice's wage
Journeyman's wage = 3x
Similarly, the master makes 150% of what the journeyman makes:
Master's wage = 1.5 * the journeyman's wage
Master's wage = 1.5 * 3x
Master's wage = 4.5x
Now let's sum up the wages of all three individuals:
The total wage can be expressed as:
x (apprentice's wage) + 3x (journeyman's wage) + 4.5x (master's wage) = $5100
Combining like terms:
8.5x = $5100
Now divide both sides of the equation by 8.5 to solve for x:
x = $5100 / 8.5
x = $600
So the apprentice makes $600. To find out how much the journeyman and master make, we substitute x with $600 in our expressions:
Journeyman's wage = 3x = 3 * $600 = $1800
Master's wage = 4.5x = 4.5 * $600 = $2700
Therefore, the apprentice makes $600, the journeyman makes $1800, and the master makes $2700.