Question

If 81 people attend a concert and tickets for adults cost $3.5 while tickets for children cost $2.5 and total receipts for the concert was $237.5, how many of each went to the concert? adults children

Answer 1

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.