Primary 32683

A total of 1415 pupils attend the three primary schools. They go to the second school twice as much as to the first, to the third they go 100 less than the second. How many pupils attend the third school?

Correct answer:

c =  506

Step-by-step explanation:

a+b+c=1415 b=2 a c=b100  a+b+c=1415 2ab=0 bc=100  Pivot:Row1Row2 2ab=0 a+b+c=1415 bc=100  Row221 Row1Row2 2ab=0 1.5b+c=1415 bc=100  Row31.51 Row2Row3 2ab=0 1.5b+c=1415 1.667c=843.333  c=1.66666667843.33333333=506 b=1.51415c=1.51415506=606 a=20+b=20+606=303  a=303 b=606 c=506

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