Four pupils

Four pupils divided euro 634 so that the second received 30% less than the first, the third 1/5 less than a fourth, and the fourth euro 95 less than the first. How much money had each of them?

Correct answer:

a =  230 euro
b =  161 euro
c =  108 euro
d =  135 euro

Step-by-step explanation:

a+b+c+d=634 b=a30/100 a c=d (11/5) d=a95  a+b+c+d=634 70a100b=0 5c4d=0 ad=95  Pivot:Row1Row2 70a100b=0 a+b+c+d=634 5c4d=0 ad=95  Row2701 Row1Row2 70a100b=0 2.4286b+c+d=634 5c4d=0 ad=95  Row4701 Row1Row4 70a100b=0 2.4286b+c+d=634 5c4d=0 1.4286bd=95  Row42.428571431.42857143 Row2Row4 70a100b=0 2.4286b+c+d=634 5c4d=0 0.5882c1.5882d=277.9412  Row450.58823529 Row3Row4 70a100b=0 2.4286b+c+d=634 5c4d=0 2.0588d=277.9412  d=2.05882353277.94117647=135 c=50+4d=50+4 135=108 b=2.42857143634cd=2.42857143634108135=161 a=700+100b=700+100 161=230=230 euro  a=230 b=161 c=108 d=135

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