Question

17.Tickets for this prom cost $20 for a single ticket and $35 for a couple of tickets.

Ticket sales are totaled $2845 and 128 tickets were purchased. With a system of
equations that can model the situation and then solve it by any method. *A. Write
a system of equations to model this situation. . *B. Solve the system of equations.
How many single tickets [blank] couple tickets sold [blank]

20s + 35c = 2845
20s + 35c + 128

Answer 1

Explanation:

Let S be the number of single tickets sold.

Let C be the number of couple tickets sold.

`20s + 35c = 2845`

`s + c = 128`

Multiplying the lower system by -20 we get;

`20s + 35c = 2845`

`- 20s - 20c = - 2560`

Adding the two systems i get;

`35c - 20c = 2845 - 2560`

`15c = 285`

`c = (285)/(15) = 19`

Substituting C=19 in s+c=128,

we get that;

`s + 19 = 128`

`s = 128 - 19`

`s = 117`