Classmates 68744

Three classmates shared 710 balls, so the second got 20% more than the first and the third 35% more than the first. How many balls did the third of them get?

Correct answer:

c =  270

Step-by-step explanation:

q=100%+20%=1+10020=1.2 k=100%+35%=1+10035=1.35  a+b+c=710 b=q a c=k a a+b+c=710 b=1.2 a c=1.35 a  a+b+c=710 1.2ab=0 1.35ac=0  Pivot:Row1Row3 1.35ac=0 1.2ab=0 a+b+c=710  Row21.351.2 Row1Row2 1.35ac=0 b+0.889c=0 a+b+c=710  Row31.351 Row1Row3 1.35ac=0 b+0.889c=0 b+1.741c=710  Row3+Row2Row3 1.35ac=0 b+0.889c=0 2.63c=710  c=2.62962963710=270 b=100.88888888888889c=100.88888889 270=240 a=1.350+c=1.350+270=200  a=200 b=240 c=270

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