Schools

Six hundred seventy-eight pupils attend three schools. The first attend 21 students more and the third 108 fewer students than the second school. How many students attend the schools?

Correct answer:

a =  276
b =  255
c =  147

Step-by-step explanation:


a+b+c=678
a=21+b
c=b-108

a+b+c = 678
a-b = 21
b-c = 108

Row 2 - Row 1 → Row 2
a+b+c = 678
-2b-c = -657
b-c = 108

Row 3 - 1/-2 · Row 2 → Row 3
a+b+c = 678
-2b-c = -657
-1.5c = -220.5


c = -220.5/-1.5 = 147
b = -657+c/-2 = -657+147/-2 = 255
a = 678-b-c = 678-255-147 = 276

a = 276
b = 255
c = 147

Our linear equations calculator calculates it.



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?

You need to know the following knowledge to solve this word math problem:

Related math problems and questions: