Posted by **Esther** on Monday, October 26, 2009 at 7:42pm.

At a club play, 117 tickets were sold. Adults' tickets cost $1.25 and

children's tickets cost $0.75. In all, $129.75 was taken in. How many of

each kind of ticket were sold?

I don't know how to set up the equation.

Work Done

Is it:

1.25x + 0.75y=129.75

this is what I've done but it doesn't seem right!

- Math -
**Reiny**, Monday, October 26, 2009 at 8:07pm
but you also know that x+y = 117 from which

y = 117-x

now plug that into your first equation and continue.

- Math -
**Esther**, Monday, October 26, 2009 at 8:09pm
By process of elimination?

- Math -
**jim**, Monday, October 26, 2009 at 8:17pm
More like substitution.

You already worked out the hard bit:

1.25x + 0.75y = 129.75

and Reiny pointed out that

y = 117-x

So you can replace (substitute) y in your equation:

1.25x + 0.75(117-x) = 129.75

and I'm sure you can see your way home from there.

- Math -
**Esther**, Monday, October 26, 2009 at 8:17pm
Ok...I got it now, Thanks

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