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Mathematics 20 Online
OpenStudy (anonymous):

HELP HELP HELP ABC game store sells new games, n, for $19 and used games, u, for $9. The store earned $7500 in revenue last month. The store sold 4 times as many used games as new games. Write a system of equations that represents this scenario.

OpenStudy (john_doe02125):

Okay. So since we're using systems of equations we are going to use 2 equation. Do you know the first equation?

OpenStudy (anonymous):

no i dont haha

OpenStudy (john_doe02125):

Okay, so. Using our variables let's try 19n+9u=?

OpenStudy (anonymous):

okay so...

OpenStudy (anonymous):

im really not good at math im sorry haha

OpenStudy (john_doe02125):

19n+9u=7500, understand where I got that?

OpenStudy (anonymous):

yes from the given information correct?

OpenStudy (john_doe02125):

Correct. 19n represents new games, 9u represents used games.

OpenStudy (anonymous):

so thats it for the equation then?

OpenStudy (john_doe02125):

That's 1 equation. In a system of equation there is 2 equations

OpenStudy (anonymous):

ohhhh okay, so how would the second one be created

OpenStudy (john_doe02125):

The store sold 4 times as many used games as new games will be our second equation. How would we write that?

OpenStudy (anonymous):

ummm im sorry i have no clue

OpenStudy (john_doe02125):

Then, let's break it down.

OpenStudy (john_doe02125):

4 times as many used games, so what should we write?

OpenStudy (anonymous):

ummm 4 times u?

OpenStudy (john_doe02125):

Which can also be written as 4u.

OpenStudy (anonymous):

okay yes 4u

OpenStudy (anonymous):

would it be a plus sign next?

OpenStudy (john_doe02125):

Hmmm. Why would it be plus?

OpenStudy (anonymous):

ahhh i have no clue..

OpenStudy (john_doe02125):

Okay, It says 4 times as many used games than new games.

OpenStudy (john_doe02125):

Seems to me like we are comparing.

OpenStudy (anonymous):

comparing??

OpenStudy (john_doe02125):

We are comparing the used games and new games.

OpenStudy (anonymous):

Okay im sorry im awful at this haha

OpenStudy (john_doe02125):

With that information, since we're *comparing*, what would our second equation be?

OpenStudy (john_doe02125):

Hint: We are going to use our u and n variable in this problem. The question being is whether your going to divide, multiply, add, or subtract?

OpenStudy (anonymous):

umm divide?

OpenStudy (john_doe02125):

Well, no. Let's take another look

OpenStudy (anonymous):

multiplication?

OpenStudy (john_doe02125):

So, how would it be multiplication?

OpenStudy (anonymous):

so like 4u times something n?

OpenStudy (john_doe02125):

So we are on the right track. 4u?n. We just need to know what ? is.

OpenStudy (anonymous):

would the ? involve any of the numbers given in the question?

OpenStudy (john_doe02125):

No, ? Would involve wither multiplication, division, subtraction, or addition.

OpenStudy (anonymous):

sooooo im totally lost

OpenStudy (john_doe02125):

OK. It says as many used games as new ones. Right?

OpenStudy (john_doe02125):

Remember what I was talking about with **comparing**?

OpenStudy (john_doe02125):

When we compare, do we add,multiply, divide, or subtract?

OpenStudy (john_doe02125):

Okay, which part did I confuse you on?

OpenStudy (anonymous):

haha idk im not very bright when it comes to math, but are we adding?

OpenStudy (anonymous):

i really just need to figure this out haha

OpenStudy (anonymous):

its getting late haha

OpenStudy (john_doe02125):

When we compare two things we subtract. Since we are comparing used and new games, we are subtracting. So, now what's our second equation

OpenStudy (anonymous):

so 4u-n?

OpenStudy (anonymous):

thats so wrong i bet

OpenStudy (john_doe02125):

Correct! What's our system of equations?

OpenStudy (anonymous):

OH SWEET

OpenStudy (anonymous):

sooo its 19n+9u=7500 and 4u-n

OpenStudy (john_doe02125):

Correct!

OpenStudy (anonymous):

Literally, thank you so much for helping me, spending your time to help me. It means a lot! Thank you!

OpenStudy (john_doe02125):

You are very welcome.:)

OpenStudy (john_doe02125):

If you have any questions, feel free to just #John_Doe02125.

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