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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

Respuesta :

subtomex0

Step-by-step explanation:

Let S be the number of single tickets sold.

Let C be the number of couple tickets sold.

[tex]20s + 35c = 2845[/tex]

[tex]s + c = 128[/tex]

Multiplying the lower system by -20 we get;

[tex]20s + 35c = 2845[/tex]

[tex] - 20s - 20c = - 2560[/tex]

Adding the two systems i get;

[tex]35c - 20c = 2845 - 2560[/tex]

[tex]15c = 285[/tex]

[tex]c = \frac{285}{15} = 19[/tex]

Substituting C=19 in s+c=128,

we get that;

[tex]s + 19 = 128[/tex]

[tex]s = 128 - 19[/tex]

[tex]s = 117[/tex]