Answer:
250
Step-by-step explanation:
Write equations the represent the problem.
let a be the number of adult tickets sold
let t be the number of student tickets sold
a + t = 447 The sum of student and adult tickets is total number of tickets.
a - 53 = t There were fewer student tickets sold than adult tickets.
Use substitution, where you replace one variable with an equation.
Replace t for a-53 in a + t = 447. Then isolate the "a" variable.
a + t = 447
a + (a - 53) = 447
a + a - 53 = 447 <= remove the brackets
2a - 53 = 447 <=collect like terms (numbers with the same variable)
2a = 500 <= divide both sides by 2
a = 250 <= number of adult tickets sold
Therefore 250 adult tickets were sold.
If you wanted to find student tickets too:
Since we know a=250, replace a with 250 in a + t = 447
a + t = 447
250 + t = 447
t = 447 - 250
t = 197 <=number of student tickets sold
Check your answer by making sure the equations are true:
t + a = 447
197 + 250 = 447
447 = 447
LS = RS
Is student tickets 53 less than adult tickets?
a - 53 = t
250 - 53 = 197
197 = 197
LS = RS
