$800 worth of tickets were sold.adult price is $6.children is $3 and seniors $2. 90 adult purchase ticket,60 children purchase tickets.how many tickets were purchase at senior price and how would you write an equation and solve to find the solution? how do you explain the equation used?
43 and senior citizen is $2
To find the number of tickets purchased at the senior price, we can start by setting up an equation. Let's denote the number of tickets purchased at the senior price as "x".
We know that the total number of adult tickets sold was 90, and the adult ticket price is $6. So, the total money from adult tickets can be calculated by multiplying the number of tickets by the price: 90 * $6 = $540.
Similarly, we know that the total number of children's tickets sold was 60, and the children's ticket price is $3. So, the total money from children's tickets can be calculated by multiplying the number of tickets by the price: 60 * $3 = $180.
We also know that the total money from senior tickets, given their price of $2, can be calculated by multiplying the number of senior tickets by the price: x * $2.
Now, we can set up an equation to represent the total ticket sales, which is equal to the sum of the money from adult, children, and senior tickets:
$540 + $180 + (x * $2) = $800
To solve this equation and find the value of x, we can simplify it and isolate the variable:
$720 + (x * $2) = $800
x * $2 = $800 - $720
x * $2 = $80
x = $80 / $2
x = 40
Therefore, 40 tickets were purchased at the senior price.