Mathematics
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OpenStudy (anonymous):
3 pizza and 4 sandwiches cost $34. 3 pizza and 7 sandwiches cost $41.50. How much does a pizza cost?
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OpenStudy (anonymous):
3p+4s=34
3p+7s=41.5
Do I substitute?
OpenStudy (anonymous):
You can but this problem lends itself well to elimination if you multiply one of the equations by -1
OpenStudy (anonymous):
Okay thank you.
OpenStudy (anonymous):
I cqn also add them correct?
OpenStudy (anonymous):
right
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OpenStudy (anonymous):
but how would I do that?
Just regularily add? Or...
OpenStudy (anonymous):
Yes. you'd have add the like terms and the p's would cancel
OpenStudy (anonymous):
-3p-4s=-34
3p+7s=41.5
______________
3s = 7.5
OpenStudy (anonymous):
so...6P+11s=75.5
OpenStudy (anonymous):
You have to multiply one of them by -1 before adding them together.
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OpenStudy (anonymous):
okay... in that case...
OpenStudy (anonymous):
-3p-7s=-41.5? Multiply all?
OpenStudy (anonymous):
-7.5
OpenStudy (anonymous):
Yes you multiply all of them
OpenStudy (anonymous):
You got -3s = -7.5?
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OpenStudy (anonymous):
mhmm.
OpenStudy (anonymous):
39+30/12=34..
OpenStudy (anonymous):
and from here you can solve for s
OpenStudy (anonymous):
5/2
OpenStudy (anonymous):
So...
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OpenStudy (anonymous):
17-5/2...right?
OpenStudy (anonymous):
i think...
OpenStudy (anonymous):
basically...
OpenStudy (anonymous):
wait wait wait..being a dumbcluck here.
OpenStudy (anonymous):
34/2 is...um...
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OpenStudy (anonymous):
36/2!...
OpenStudy (anonymous):
... ><''
OpenStudy (anonymous):
The 5/2 is right.
OpenStudy (anonymous):
3p+7(5/2)=41.5
OpenStudy (anonymous):
We just substitute from there?
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OpenStudy (anonymous):
right
OpenStudy (anonymous):
3p+35/2=41.5 So what do I do then?
OpenStudy (anonymous):
solve for p.
3p = 41 - 35/2
OpenStudy (anonymous):
3p = 24
OpenStudy (anonymous):
okay..thanks.