Circus

At the circus performance were 150 people. Men were ten less than women and children 50 more than adults. How many children were in the circus?

Correct answer:

d =  100

Step-by-step explanation:


d+m+z = 150
m = z-10
d = 50+m+z

d+m+z = 150
m-z = -10
d-m-z = 50

Row 3 - Row 1 → Row 3
d+m+z = 150
m-z = -10
-2m-2z = -100

Pivot: Row 2 ↔ Row 3
d+m+z = 150
-2m-2z = -100
m-z = -10

Row 3 - 1/-2 · Row 2 → Row 3
d+m+z = 150
-2m-2z = -100
-2z = -60


z = -60/-2 = 30
m = -100+2z/-2 = -100+2 · 30/-2 = 20
d = 150-m-z = 150-20-30 = 100

d = 100
m = 20
z = 30

Our linear equations calculator calculates it.



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