Answer: Robert earns$9426.50
Step-by-step explanation:
Complete question: Robert earns $512.75 less than Noel
noel's salary = x, robert's salary = y and john's salary = z
y = x - 512.75 ..........(1)
z = 3y = 3(x - 512.75) = 3x - 1538.25 ...............(2)
x + y + z = 47645.25..........................(3)
substitute for y and z
x + (x - 512.75) + (3x - 1538.25) = 47645.25
x + x - 512.75 + 3x - 1538.25 = 47645.25
5x = 47645.75 + 512.75 + 1538.25
5x = 49696.25
divide both sides by 5
x = 9939.25 ..... noel's salary
to get robert's salary substitute x in equation 1
y = 9939.25 - 512.75 = 9426.50
y = $9426.50..... robert's salary
Answer: Robert earned $9426.5
Step-by-step explanation:
Let x represent the amount earned by Robert.
Let y represent the amount earned by Noel.
Let z represent the amount earned by John.
Robert earns $512.75 less than Noel. This is expressed as
y = x + 512.75
John earns 3 times Robert's salary. This is expressed as
z = 3x
If the total salary earned by them is $47,645.25, it means that
x + y + z = 47645.25 - - - - - - - - - - -1
Substituting z =3x and y = x + 512.75 into equation 1, it becomes
x + x + 512.75 + 3x = 47645.25
x + x + 3x = 47645.25 - 512.75
5x = 47132.5
x = 47132.5/5
x = 9426.5
y = x + 512.75 = 9426.5 + 512.75
y = 9939.25
z = 3x = 3 × 9426.5
z = 28279.8
