The box office at a theater is selling tickets for a series of rock concerts. So far, they have sold 53 balcony tickets and 94 general admission floor tickets for Friday's show, for a total of $4,482 in receipts. For Saturday's show, 53 balcony tickets and 47 general admission floor tickets have been sold, equaling $3,354 in receipts. How much does each ticket cost?

The box office sold 360 tickets to a concert at

the college. The total receipts were $4,170. General

admission tickets cost $15 and student tickets cost $10.

How many of each kind of ticket was sold?

114 general admission tickets and 246 student tickets were sold.

Step-by-step explanation:

Let x represent the number of general admission tickets that were sold.

Let y represent the number of student tickets that were sold.

The box office sold 360 tickets to a concert at the college. It means that

x + y = 360

General admission tickets cost $15 and student tickets cost $10. The total receipts were $4170. It means that

15x + 10y = 4170- - - - - - - - -1

Substituting x = 360 - y into equation 1, it becomes

15(360 - y) + 10y = 4170

5400 - 15y + 10y = 4170

- 15y + 10y = 4170 - 5400

- 5y = - 1230

y = - 1230/-5

y = 246

x = 360 - y = 360 - 246

x = 114

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".