Summerjob

Albert, Beny, Cyril, and Dan worked on a summer job. From the total revenue, Albert received 2/5, Beny 1/6, 3/10 Cyril, and Dan the rest, which is 324 euros.

How many euros were earned for every one of them?

Correct answer:

A =  972 Eur
B =  405 Eur
C =  729 Eur
D =  324 Eur

Step-by-step explanation:


A = 2/5 x
B = 1/6 x
C = 3/10 x
D = 324
D = x-A-B-C

A = 2/5·x
B = 1/6·x
C = 3/10·x
D = 324
D = x-A-B-C

5A-2x = 0
6B-x = 0
10C-3x = 0
D = 324
A+B+C+D-x = 0

Row 5 - 1/5 · Row 1 → Row 5
5A-2x = 0
6B-x = 0
10C-3x = 0
D = 324
B+C+D-0.6x = 0

Row 5 - 1/6 · Row 2 → Row 5
5A-2x = 0
6B-x = 0
10C-3x = 0
D = 324
C+D-0.43333x = 0

Row 5 - 1/10 · Row 3 → Row 5
5A-2x = 0
6B-x = 0
10C-3x = 0
D = 324
D-0.13333x = 0

Row 5 - Row 4 → Row 5
5A-2x = 0
6B-x = 0
10C-3x = 0
D = 324
-0.13333x = -324


x = -324/-0.13333333 = 2430
D = 324/1 = 324
C = 0+3x/10 = 0+3 · 2430/10 = 729
B = 0+x/6 = 0+2430/6 = 405
A = 0+2x/5 = 0+2 · 2430/5 = 972

A = 972
B = 405
C = 729
D = 324
x = 2430

Our linear equations calculator calculates it.
B=405=405 Eur
C=729=729 Eur
D=324=324 Eur



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