Question

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Answer 1

81000 people went to Bonnaroo.

192000 people went to Lollapalooza.

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=(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.