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The cinema was visited by a total of 890 people in 3 days. On the 2nd day, it was three times more than the 1st day; on the 3rd day, 50 people more than on the 2nd day visited the cinema. How many people see the cinema each day?

Correct answer:

a =  120
b =  360
c =  410

Step-by-step explanation:


a+b+c=890
b = 3a
c = 50+b

a+b+c=890
b = 3·a
c = 50+b

a+b+c = 890
3a-b = 0
b-c = -50

Pivot: Row 1 ↔ Row 2
3a-b = 0
a+b+c = 890
b-c = -50

Row 2 - 1/3 · Row 1 → Row 2
3a-b = 0
1.333b+c = 890
b-c = -50

Row 3 - 1/1.33333333 · Row 2 → Row 3
3a-b = 0
1.333b+c = 890
-1.75c = -717.5


c = -717.5/-1.75 = 410
b = 890-c/1.33333333 = 890-410/1.33333333 = 360
a = 0+b/3 = 0+360/3 = 120

a = 120
b = 360
c = 410

Our linear equations calculator calculates it.



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