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Mathematics 7 Online
OpenStudy (anonymous):

Can someone please help me?!?!

OpenStudy (anonymous):

whats your problem?

OpenStudy (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?**

OpenStudy (anonymous):

all you have to do is translate each word :)

OpenStudy (anonymous):

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

OpenStudy (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.

OpenStudy (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.

OpenStudy (anonymous):

Right, C=Computer, P= Printer

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

So, i got (C*5)+P

OpenStudy (anonymous):

That's not an equation.

OpenStudy (anonymous):

then that's where Im stuck and obviously having problems

OpenStudy (anonymous):

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

OpenStudy (anonymous):

$20

OpenStudy (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"

OpenStudy (anonymous):

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

OpenStudy (anonymous):

Ahead of yourself.

OpenStudy (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

OpenStudy (anonymous):

Was my version of the sentence equivalent to the original?

OpenStudy (anonymous):

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

OpenStudy (anonymous):

Yes.

OpenStudy (anonymous):

Well no

OpenStudy (anonymous):

H U H ? ! ? ! :'(

OpenStudy (anonymous):

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

OpenStudy (anonymous):

100

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

Yes. Because C is 5P

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (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?

OpenStudy (anonymous):

C+(5*P)=1320

OpenStudy (anonymous):

No.

OpenStudy (anonymous):

why not?

OpenStudy (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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

You do!. C+P = 1320

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

Do you follow the process we used here?

OpenStudy (anonymous):

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

OpenStudy (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

OpenStudy (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?

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (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

OpenStudy (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?

OpenStudy (anonymous):

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

OpenStudy (anonymous):

5P + P = 6P

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

Yes exactly!:)

OpenStudy (anonymous):

OH HAPPY DAY! ^_^

OpenStudy (anonymous):

LOL! THANK YOU SO MUCH!

OpenStudy (anonymous):

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

OpenStudy (anonymous):

What's up B?

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