A pawnbroker buys a tv set and a computer for $600. He sells the comouter at a markup of 30% and the tv set at a markup of 20%. If he makes a profit of $165 on the sale of the two items, hwat did he pay for the computer?

- anonymous

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- Hero

t + c = 600
1.30t+ 1.20c = 765
Solve the system.

- anonymous

ooo soo all I was missing was the ones on the %s thought my answer was off

- Hero

t(1 + .30) = t + .30t = 1.30t
c(1+.20) = c + .20c = 1.20c

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## More answers

- Hero

The markups of course is what allows him to make a profit.

- anonymous

soo is it 1.3t+1.2c=765?

- Hero

For the second equation, yes

- anonymous

first equation is t+c=600 then the second one is 1.3t+1.2c=765

- Hero

Correct

- anonymous

the profit is 165 not 765

- anonymous

but I know how to solve one equation and pug it into the other=)

- Hero

765 is the total amount he will have however.

- Hero

If you have $600, then spend it, would reselling and making only $165 back be a profit?

- anonymous

Ya but they're wanting to know how much he paid for the computer not the total profit

- Hero

In order to do that, you have to find the value of variable c.
In order to find variable c, you have to set up the proper equations.

- Hero

Marie, I don't understand why you are disputing my setup.

- anonymous

you set it up right I'm just questioning whether it should be 765 or 165

- Hero

It goes back to that same thing I was telling you earlier. If you put 165, it would mean he only made 165 after reselling. Making only 165 after reselling is not a profit because 165 < 600
A profit only exists if x > 600
765 > 600, which is a profit of 165
The first equation represents the amount of each item costs equaling their total cost.
The second equation represents the re-sell prices equaling the total amount made including the original amount plus the profit.

- Hero

There's no other way to do this, sorry.

- anonymous

7050/11?

- Hero

And what might that be?

- anonymous

vs. 1050/11

- anonymous

the first fraction is what I got the first time using your way the second one is my way

- Hero

FYI, prices are not given in fractions. Put the answer in decimal form up accurate to two decimal places

- Hero

That is not correct:
Wolfram provides the correct values:
http://www.wolframalpha.com/input/?i=t+%2B+c+%3D+600+and+1.30t%2B+1.20c+%3D+765

- anonymous

okay lol I trust you lol I won't argue next time

- anonymous

My book says 450

- Hero

Yeah, I originally mixed up the variables at the beginning. But 450 and 150 are the answers.
If you wanted to nitpick at me, you should have nitpicked me for mixing up the variables :P

- Hero

It was supposed to be:
c + t = 600
1.30c+ 1.20t = 765
That's the only mistake I made.

- Hero

But everything else is right.

- anonymous

Hey I don't mean to pick on you I just wanna understand this stuff

- Hero

I know. Wanna go to vyew?

- anonymous

?

- Hero

Vyew = Collaborative Online Classroom

- anonymous

Where has this been hiding all this time?

- Hero

lol

- Hero

It's not a replacement for open study, but it's a great supplement if you want to learn stuff.

- anonymous

cool

- Hero

Click the link ^

- anonymous

I'm not getting the answer though lol I re-did the variables

- Hero

I can show you how

- anonymous

in the other site?

- Hero

Click the link I sent

- Hero

Yes

- anonymous

k

- anonymous

grait job

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