nixon13

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Jan 22, 2008
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Vendor sells tickets $5 for adults and $2.50 for kids. If a total of 240 people came and the total amount of money made was $800, how many adults and how many kids came?
 

dufran3

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Jan 22, 2009
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I'm awful at math, so I wouldn't even try and setup an equation. I would take half of each, and see what it would come out to.

120 * $5 = $600
120 * $2.50 = $300

that give you a close guess...

so just less than half of the 240 are adults. Depending on your answer selection, you might not have to evaluate this anymore.
 

whawha

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Apr 1, 2009
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Let x = # of adults and y = # of kids

Two equations can be established from whats given.

x + y = 240 (simply adding up the # of heads)
5x + 2.5y = 800 (this equation is in terms of money)

Just solve these equations simultaneously to get x and y, which should be the answers. I am using my phone, so, can't solve it for you now.
 
Aug 3, 2009
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Try using this method; Let x= the number of childrens tickets, and (240-x)= the number of adult tickets. Setting up an equation, you should receive:

2.5x + 5(240-x) = 800

Solving for x gives 160, and (240-x) = 80.
Therefore, there will 160 childrens tickets and 80 adult tickets sold.
 

suhshi

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Dec 15, 2008
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Let x= adults
y= kids

x+y=240
5x + 2.50y=800

multiply second equation by 2
and multiply first by 5

so you get

10x + 5y= 1600
5x +5y= 1200

subtract

solve for
x = 80
y= 160