Collecting day

On collecting day at school, pupils of three classes took 1063 kg of paper. Class B collected half more than A-Class and class C 55 kg more than B. How many kilograms of paper were collected in each class?

Correct answer:

a =  252
b =  378
c =  433

Step-by-step explanation:


a+b+c=1063
b = a+a/2
c = b + 55

a+b+c = 1063
3a-2b = 0
b-c = -55

Pivot: Row 1 ↔ Row 2
3a-2b = 0
a+b+c = 1063
b-c = -55

Row 2 - 1/3 · Row 1 → Row 2
3a-2b = 0
1.667b+c = 1063
b-c = -55

Row 3 - 1/1.66666667 · Row 2 → Row 3
3a-2b = 0
1.667b+c = 1063
-1.6c = -692.8


c = -692.8/-1.6 = 433
b = 1063-c/1.66666667 = 1063-433/1.66666667 = 378
a = 0+2b/3 = 0+2 · 378/3 = 252

a = 252
b = 378
c = 433

Our linear equations calculator calculates it.



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