A chemist needs to mix a 12% acid solution with a 32% acid solution to obtain an 8-liters mixture consisting of 20% acid. How many liters of each of teh acid solutions must be used?
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OpenStudy (anonymous):
please explain answer....
OpenStudy (fibonaccichick666):
So first do you have any ideas?
OpenStudy (anonymous):
I can't figure out what to put as the equation...then i think i got the rest down....
OpenStudy (anonymous):
@FibonacciChick666 ??
OpenStudy (fibonaccichick666):
sorry, uhm so you need to add two quantities to equal 8 liters at .2 conc.
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OpenStudy (fibonaccichick666):
so that means you have 2 variables, the amount of liters of each
OpenStudy (anonymous):
so its 12x + 32y =8??
OpenStudy (fibonaccichick666):
almost you have .12 x+.32 y=.2
OpenStudy (fibonaccichick666):
because you want to know the ratio required
OpenStudy (anonymous):
ait how did you get 2??
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OpenStudy (fibonaccichick666):
0.2
OpenStudy (fibonaccichick666):
% to decimal
OpenStudy (anonymous):
oh from the 20%
OpenStudy (anonymous):
ok i think im getting this....
OpenStudy (anonymous):
but im confused what do i do next??
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OpenStudy (fibonaccichick666):
yup so now you need a second eq to solve the system. I'm sorry but I have to go I'll check back in like 8 hours sorry.
OpenStudy (anonymous):
no please this is the last question i have to answer.....
OpenStudy (anonymous):
on my homework i mean...
OpenStudy (anonymous):
can you please just tell me the second equation...i think i can figure it out from there....
OpenStudy (fibonaccichick666):
i don't usually do this but i feel bad leaving x+y=8 I believe
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