Adult Tickets are $5
Child Tickets are $2
There are twice as many children as adults at the concert. The total amount collected was $1,080. How many adults are at the concert?
Is 270 the right answer? How did you get that answer?
120 adults are at the concert
To solve this problem, we can use a system of equations. Let's let 'x' represent the number of adults and 'y' represent the number of children.
We are given that the cost of an adult ticket is $5, so the total amount collected from adults would be 5x dollars.
We are also given that the cost of a child ticket is $2, so the total amount collected from children would be 2y dollars.
We are told that there are twice as many children as adults at the concert, so we can write the equation y = 2x.
Lastly, we are given that the total amount collected was $1,080, so we can write the equation 5x + 2y = 1080.
Now we can substitute the expression for y from the second equation into the first equation to get:
5x + 2(2x) = 1080
Simplifying this equation gives us:
5x + 4x = 1080
9x = 1080
x = 120
So, there are 120 adults at the concert.