Question 1014371
x is the number of adults.
y is the number of children.


7.5x is the total amount of revenue based on x number of adults.
5y is the total amount of revenue based on y number of children.


total number of tickets sold is 700.


equation for that is x + y = 700


total revenue is 4500.


equation for that is 7.5x + 5y = 4500


these two equations need to be solved simultensouly becsuse the same value of x and y applies to both.


equations are:


x + y = 700
7.5x + 5y = 4500


solve for y in the first equation to get y = 700 - x
replace y with 700 - x in the second equation to get 7.5x + 5y = 4500 becomes 7.5x + 5 * (700 - x) = 4500


solve for x in the second equation.


start with 7.5x + 5 * (700 - x) = 4500


simplify to get 7.5x + 5*700 - 5x = 4500


combine like terms and simplify to get 2.5x + 3500 = 4500


subtract 3500 from both sides of the equation to get 2.5x = 4500 - 3500


simplify to get 2.5x = 1000


divide both sides of the equation by 2.5 to get x = 1000 / 2.5


solve to get x = 400


x is the number of adult tickets.


since x + y = 700, then y = 300


you have 400 adult tickets and 300 children tickets.


400 + 300 = 700 so that's ok.


7.5 * 400 + 5 * 300 = 3000 + 1500 = 4500 so that's ok as well.


solution is 400 adult and 300 children tickets were sold.