The Big Time Band put on a community concert. A total of 1,236 people attended the concert. There were twice as many adults as children who attended the concert.How many adults attended the concert?
Question
The Big Time Band put on a community concert. A total of 1,236 people attended the concert. There were twice as many adults as children who attended the concert.How many adults attended the concert?
Solution
Let's denote the number of children who attended the concert as C and the number of adults as A.
From the problem, we know that:
- The total number of people who attended the concert is 1,236, so A + C = 1,236.
- There were twice as many adults as children, so A = 2C.
We can substitute the second equation into the first to solve for C:
2C + C = 1,236 3C = 1,236 C = 1,236 / 3 C = 412
Substitute C = 412 into A = 2C to find the number of adults:
A = 2 * 412 A = 824
So, 824 adults attended the concert.
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