Two-fifths 63014

We divided a certain amount of money between three people so that the first got two-fifths of what the second and third combined. The second got twice as much as the first. If the third received €750 less than the first, how much did each receive?

Correct answer:

a =  1500
b =  3000
c =  750

Step-by-step explanation:

a=52 (b+c) b=2 a c=a750  a=2/5 (b+c) b=2 a c=a750  5a2b2c=0 2ab=0 ac=750  Row252 Row1Row2 5a2b2c=0 0.2b+0.8c=0 ac=750  Row351 Row1Row3 5a2b2c=0 0.2b+0.8c=0 0.4b0.6c=750  Pivot:Row2Row3 5a2b2c=0 0.4b0.6c=750 0.2b+0.8c=0  Row30.40.2 Row2Row3 5a2b2c=0 0.4b0.6c=750 0.5c=375  c=0.5375=750 b=0.4750+0.6c=0.4750+0.6 750=3000 a=50+2b+2c=50+2 3000+2 750=1500  a=1500 b=3000 c=750

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