Race track a has 33000 more grandstand seats than three times the number of grandstand seats at another race track
b.​ together, these two race tracks seat 281000 auto racing fans. How many seats does each race track​ have?

Respuesta :

Track A has 219000 seats and track B has 62000 seats.

Explanation

Suppose, the number of seats at track B is  [tex]x[/tex]

As track A has 33000 more seats than 3 times the number of seats at track B, so the number of seats at track A will be:  [tex]3x+33000[/tex]

Given that, the total number of seats in the two tracks is 281000. So the equation will be.....

[tex]x+(3x+33000)=281000\\ \\ 4x=281000-33000\\ \\ 4x=248000\\ \\ x=\frac{248000}{4}=62000[/tex]

So, the number of seats at track B is 62000 and the number of seats at track A is [tex][(3*62000)+33000] = 219000[/tex]

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