Question

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Answer 1

Answer:

81000 people went to Bonnaroo.

192000 people went to Lollapalooza.

Step-by-step explanation:

Given:

Total number of people attending festivals, $N=273000$

Number of people attending Lollapalooza is 30,000 more than twice the people attending Bonnaroo.

Unknown:

Number of people attending Lollapalooza and Bonnaroo.

Let the number of people attending Bonnaroo be $x$.

Therefore, the number of people attending Lollapalooza is equal to $30000+2x$

Evaluate:

Sum of people attending Bonnaroo and Lollapalooza is equal to the total number of people attending the festivals. So,

$x+30000+2x=N\\3x+30000=273000\\3x=273000-30000\\3x=243000\\x=\frac{243000}{3}=81000$

Substitute and Solve:

Now, we have, $x=81000$.

Substitute 81000 for $x$ and solve for the number of people attending both the festivals. This gives,

Number of people attending Bonnaroo = $x=81000$

Number of people attending Lollapalooza = $30000+2x=30000+2(81000)=30000+162000=192000$

Therefore, 81000 people went to Bonnaroo and 192000 people went to Lollapalooza.