Adult and student tickets were sold for the school play. The total receipts were $2005. The number of student tickets sold was equal to three times the number of adult tickets sold decreased by 56. If student tickets cost $3.50 and adult tickets cost $5.00, how many adult tickets were sold?
+128408 Let the adult tickets sold = A
The student tickets sold = 3A - 56
So
number of adult tickets sold * cost each + student tickets sold 8 cost = revenue
So
A * 5 + ( 3A - 56) * 3.50 = 2005 simplify
5A + 10.50A - 196 = 2005
15.50A - 196 =2005 add 196 to both sides
15.50A = 2201 divide both sides by 15.50
A = 142 = adult tickets sold
