If x = apprentice $, then journeyman = 3x and master = 3x * 1.5
x + 3x + 4.5x = 5100
Solve for x, then the others.
Thanks!
x + 3x + 4.5x = 5100
Solve for x, then the others.
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.