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.
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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
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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
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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?
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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?
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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.
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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
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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?
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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?
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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
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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
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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.