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In three days, 3960 viewers saw the film. How many viewers watched the movie each day if we know: the second day saw 20% more viewers than the first day and the third 20% less than the first and second together.

Correct answer:

a =  1000
b =  1200
c =  1760

Step-by-step explanation:


a+b+c=3960
b = 1.2 a
c = (1-20/100)·(a+b)

a+b+c=3960
b = 1.2·a
c = (1-20/100)·(a+b)

a+b+c = 3960
1.2a-b = 0
80a+80b-100c = 0

Pivot: Row 1 ↔ Row 3
80a+80b-100c = 0
1.2a-b = 0
a+b+c = 3960

Row 2 - 1.2/80 · Row 1 → Row 2
80a+80b-100c = 0
-2.2b+1.5c = 0
a+b+c = 3960

Row 3 - 1/80 · Row 1 → Row 3
80a+80b-100c = 0
-2.2b+1.5c = 0
2.25c = 3960


c = 3960/2.25 = 1760
b = 0-1.5c/-2.2 = 0-1.5 · 1760/-2.2 = 1200
a = 0-80b+100c/80 = 0-80 · 1200+100 · 1760/80 = 1000

a = 1000
b = 1200
c = 1760

Our linear equations calculator calculates it.



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