Question

The total ticket sales for a high school basketball game were $2,260. The ticket price for students was $2.25 less than the adult ticket price. The number of adult tickets sold was 230, and the number of student tickets sold was 180. What was the price of an adult ticket?

Answer 1

let the price for adult be x , therefore price paid by student would be x-$2.25
total price is equal to 230x+180(x-2.25)=$2260
that is 230x +180x-405=2260
410x-405=2260
like terms together
410x=2260+405
410x=2665
divide both side by 410
x=$6.5 is the price of an adult ticket