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Tickets to a local movie were sold at $12.00 for general admission and $9.00 for seniors. If 155 tickets were sold for a total of $1,680.00, how many general admission tickets were sold?

1 Answer

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We have a problem of a sysmtem of equation

x is the number tickets sold of general admission

y is the number o tickets sold for seniors

The first equation is about the number of ticktes sold

x+y=155

the second equation is about the amount of money

12x+9y=1680

we isolate x of the first equation

x=155-y

we substitute the equatio above in the second equation

12(155-y)+9y=1680

1860-12y+9y=1680

we isolate the y

-3y=1680-1860

-3y=-180

y=-180/-3

y=60

then we substitute the value of y in order to find x

x=155-y

x=155-60

x=95

They sold 95 tickets of general admission

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