Question

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?

Answer 1

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

Step-by-step explanation

Suppose, the number of seats at track B is
`x`

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:
`3x+33000`

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

`x+(3x+33000)=281000\\ \\ 4x=281000-33000\\ \\ 4x=248000\\ \\ x=(248000)/(4)=62000`

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