Give a verbal description of the universal set for each of the following
1 answer:
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Answer:
81000 people went to Bonnaroo.
192000 people went to Lollapalooza.
Step-by-step explanation:
Given:
Total number of people attending festivals,
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 .
Therefore, the number of people attending Lollapalooza is equal to
Evaluate:
Sum of people attending Bonnaroo and Lollapalooza is equal to the total number of people attending the festivals. So,
Substitute and Solve:
Now, we have, .
Substitute 81000 for and solve for the number of people attending both the festivals. This gives,
Number of people attending Bonnaroo =
Number of people attending Lollapalooza =
Therefore, 81000 people went to Bonnaroo and 192000 people went to Lollapalooza.
