Adult tickets $25, children's $15; total $7,200 w/ 400 sold

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golianmd

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Adult tickets for a play cost $25 each and children's tickets cost $15 each. The total receipts were $7,200 and the total attendance was 400. How many adults and ho many children attended?

Please Don't give me the answer...
Please show me step by step how to solve this.
Thanks much.

I'm going to school through a distance program...because my parents travel a lot....so I don't have teachers as resources...Any help would be greatly appreciated.
 
Re: Help Me Solve...

Must you solve this using one equation in one unknown or may you use two equations in two unknowns.

In both cases you have to distinguish between the number of tickets and the value of the tickets.
 
A good "trick" (I find) is make up a simpler problem so you can "see" what's going on.
Say 2 adults @ $25 and 3 children @ $15; receipts = $95
a + c = 5
25a + 15c = 95
 
mixture word problems

Nuts to you Shoppe sells cashews for $15 per kg and pecans for $10 per kg. How many kilograms of each should be mixed in order to get 20kg of a mixture worht $12 per kg?
 
In such problems always have a variable for the unknowns,
say number of adults=A
number of children=C
A+C=400
And the cost of adult ticket is 25, so total money from selling adult tkts alone is 25*c
And similaly for children and add them to get total money generated. And solve the equations
 
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