There were 53 more nonstudents at a play than students Stude

There were 53 more nonstudents at a play than students. Student tickets were $5 and nonstudent tickets were $8. If the total revenue for the play was $1451, then how many tickets of each type were sold

Solution

Say x student tickets

So, nonstudent tickets = x + 53

Each student ticket = 5 dollars
So, x student tickets generated revenue of 5x dollars

Similarly, (x + 53) nonstudent tickets generated 8(x + 53) dollars

Now, Total revenue = 5x + 8(x + 53) = 1451

13x + 424 = 1451

13x = 1027

x = 79

Thus :
79 student tickets ---ANSWER
132 nonstudent tickets ---> ANSWER