Can someone please help me?!?!

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- anonymous

Can someone please help me?!?!

- chestercat

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- anonymous

whats your problem?

- anonymous

I need help trying to figure out equations for a few word problems. i have a test tomorrow and ive been struggling with this for days now, on the verge of tears. Here's the problem: ** Jason paid five times as much for his computer as he did for his printer. He paid a total of $1320 for both items. What did each item cost?**

- anonymous

all you have to do is translate each word :)

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- anonymous

Right, but when I do and try to put an equation together, it seems impossible to solve.

- anonymous

I dont want anyone to do my homework for me, I just need help trying to figure out and understand an equation for the word problems.

- anonymous

Take the first sentence. Choose a variable for how much he paid for his computer and another variable for how much he paid for his printer.

- anonymous

Right, C=Computer, P= Printer

- anonymous

Then write the equation given by the first sentence. And a second equation for the second sentence.

- anonymous

"Jason paid five times as much for his computer as he did for his printer"

- anonymous

So, i got (C*5)+P

- anonymous

That's not an equation.

- anonymous

then that's where Im stuck and obviously having problems

- anonymous

If he pays 4 dollars for the printer. How much did the computer cost?

- anonymous

$20

- anonymous

Right. So let me rephrase the sentence and you tell me if my version means the same thing..
"The amount Jason payed for the computer was five times what he paid for the printer"

- anonymous

Im crying!
I cant get passed (C*5)+P=1320 (his total), right?
Or am I getting ahead of myself?

- anonymous

Ahead of yourself.

- anonymous

figure out what C is equal to in terms of P so you can plug that in to your equation with only one variable

- anonymous

Was my version of the sentence equivalent to the original?

- anonymous

Yes.
So it would be C*5=P?

- anonymous

Yes.

- anonymous

Well no

- anonymous

H U H ? ! ? !
:'(

- anonymous

if C=20, what would the printer cost be by that equation?

- anonymous

100

- anonymous

And that's not right. He was supposed to only pay 4 dollars if the computer was 20

- anonymous

C = 5P
^ Amount for the computer ^ was ^five times the printer

- anonymous

This is frustrating for me.
So I had to switch the C and P?

- anonymous

Yes. Because C is 5P

- anonymous

OH! I get it now.
So the first part of my equation would be C=5*P

- anonymous

That is the first equation. The second equation comes from the next sentence.
"He paid a total of $1320 for both items"

- anonymous

If P is the amount for the printer, and C is the amount for the computer. What is the equation we can infer from this statement?

- anonymous

C+(5*P)=1320

- anonymous

No.

- anonymous

why not?

- anonymous

If C is the amount you pay for the computer. And P is the amount for the printer.
Then the total amount would be C + P

- anonymous

C+5P would be the amount if you buy 1 computer and 5 printers.

- anonymous

So the 5 times is already what the total is for P?

- anonymous

you know C + P = 1320 right.
so replace C with your other equation and solve for P

- anonymous

You aren't buying 5 of anything. You buy 1 C and 1 P. and the total was 1320.

- anonymous

Now you can take what you know about C (=5P) and replace C in the equation to find what P is.

- anonymous

But i still dont have an equation.
And I wont be able to figure out how to solve it.
This is really confusing!

- anonymous

You do!. C+P = 1320

- anonymous

Since C = 5P, 5P + P = 1320

- anonymous

I do appreciate your time, I hope you dont feel like its a waste.
Thank you very much! <3

- anonymous

Do you follow the process we used here?

- anonymous

So there's 2 separate equations because we are trying to figure out 2 different amounts, right?

- anonymous

so the total price of the computer and printer together is 1320 dollars, which means that C + P = 1320....and you know that the computer is five times more expensive than the printer, which is C = 5P.... so if C =5P and C + P =1320, then replace the C in the second equation and you have 5P + P = 1320

- anonymous

ok, I think I got it.
So, how will I be able to solve it?
I know I need to figure out what C is first, right?

- anonymous

There's two equations because there are two different pieces of information given in the problem.

- anonymous

No, you have 5P + P = 1320. You solve for P

- anonymous

now with that just solve for P...
then P is the price of your printer so once you solve
for it, the price of your computer is the total price minus the price of the printer

- anonymous

Ok. I would divide 5 from 1320 which is 244.
P=244
Then I would take the 1320 and minus that by 244 to get C.
C=1076
Is this correct?

- anonymous

5P + P = 1320 is the same as 6P = 1320....so you divide 1320 by 6

- anonymous

5P + P = 6P

- anonymous

Ok. So 6 divided by 1320 = 220
P=220

- anonymous

Then subtract 220 from 1320 and that equals C
C=1100
Is this correct?

- anonymous

Yes exactly!:)

- anonymous

OH HAPPY DAY! ^_^

- anonymous

LOL! THANK YOU SO MUCH!

- anonymous

I got one more before I go to bed.
Are you up for helping me on it?

- anonymous

What's up B?

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