Alan's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Alan
$4.15
per pound, and type B coffee costs
$5.30
per pound. This month, Alan made
135
pounds of the blend, for a total cost of
$631.55
. How many pounds of type A coffee did he use?
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OpenStudy (anonymous):
@misty1212
OpenStudy (misty1212):
HI!!
OpenStudy (anonymous):
noooooooooooo
OpenStudy (misty1212):
don't you hate word problems? especially mixture ones ick!!
OpenStudy (anonymous):
@misty1212 I hate them..
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OpenStudy (misty1212):
same really as the other problem
\[530x+415(135-x)=63155\] solve for \(x\)
OpenStudy (misty1212):
lol another county heard from ..
OpenStudy (misty1212):
notice i got rid of the dumb decimal point right away
btw x here represents the more expensive coffee
it is easier to do it that way
OpenStudy (anonymous):
62
OpenStudy (anonymous):
but it says its incorrect
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OpenStudy (misty1212):
that is because x was the more expensive coffee silly, not the cheap one
OpenStudy (anonymous):
ok.
OpenStudy (misty1212):
62 pounds of the expensive one, \(135-62\) of the cheap one
OpenStudy (misty1212):
sorry i thought they wanted both
if they only wanted the cheap one i should have put x = amount of cheap coffee
OpenStudy (anonymous):
i have one more similar
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