Answer:
Explanation:
Let's use algebra to solve the problem.
Let x be the number of adult tickets sold and y be the number of child tickets sold.
We know that:
- x + y = 81 (because the total number of people who attended is 81)
- 3.5x + 2.5y = 237.5 (because the total receipts for the concert was $237.50)
We can use the first equation to solve for one of the variables in terms of the other.
y = 81 - x
Now we can substitute this expression for y into the second equation:
3.5x + 2.5(81 - x) = 237.5
Simplifying:
3.5x + 202.5 - 2.5x = 237.5
x + 202.5 = 237.5
x = 35
So 35 adult tickets were sold.
To find the number of child tickets sold, we can substitute x = 35 into the first equation:
35 + y = 81
y = 46
So 46 child tickets were sold.
Therefore, 35 adults and 46 children went to the concert.