adult tickets to a play costs $5 and student tickets costs $2. In all, 720 tickets were sold for a total of $2640. how many student tickets were sold

Answer 1

Let #adults ticket sold is x and #students ticket is y

720 total tickets are sold for adults and students so the algebraic equation is

x + y = 720 - - - > 1st equation

Or

y = 720 - x

The price of adult ticket is $5 and student is $2. $2640 is earned from adults and students ticket so the algebraic equation is

5x + 2y = 2640 - - - > 2nd equation

Substitute 1st equation into 2nd equation

5x + 2y = 2640

5x + 2*(720 - x) = 2640

5x + 1440 - 2x = 2640 put all numbers on the right side

5x - 2x = 2640 - 1440

3x = 1200

x = 400 - - - > #adult ticket is 400

x + y = 720

400 + y = 720

y = 720 - 400

y = 320 - - - > #student ticket is 320

Proof

400 * $5 + 320 *$2 = $2640