Question

Robert earns $512.75 less than Noel. John earns 3 times Robert's salary. If the total salary earned by them is $47,645.25, how much salary does Robert earn?

Answer 1

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

Answer 2

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