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125 tickets were sold for the jazz band concert for a total of $1,022. Student tickets cost $6 each, and general admission tickets cost $10 each. How many of each kind of ticket were sold?

Respuesta :

calculista

Answer:

The number of student tickets was [tex]57[/tex]

The number of general admission tickets was [tex]68[/tex]

Step-by-step explanation:

Let

x----> the number of student tickets

y---> the number of general admission tickets

we know that

[tex]x+y=125[/tex]

[tex]x=125-y[/tex] ---> equation A

[tex]6x+10y=1,022[/tex] ----> equation B

Substitute equation A in equation B and solve for y

[tex]6(125-y)+10y=1,022[/tex]

[tex]750-6y+10y=1,022[/tex]

[tex]4y=1,022-750[/tex]

[tex]4y=272[/tex]

[tex]y=68[/tex]

Find the value of x

[tex]x=125-68=57[/tex]

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