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anonymous
 one year ago
Please help! I don't understand this
brian is an agriculture scientist who is testing different applications of insecticides on tomato plants. For part of the trial he is running now he needs 125 gallons of 12% solution of test chemical AX14. Brain received only containers with 7% solution and 15% concentrations of test chemical AX14. How much of each chemical should brian mix to run his trial?
anonymous
 one year ago
Please help! I don't understand this brian is an agriculture scientist who is testing different applications of insecticides on tomato plants. For part of the trial he is running now he needs 125 gallons of 12% solution of test chemical AX14. Brain received only containers with 7% solution and 15% concentrations of test chemical AX14. How much of each chemical should brian mix to run his trial?

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misty1212
 one year ago
Best ResponseYou've already chosen the best response.0don't you hate word problems?

misty1212
 one year ago
Best ResponseYou've already chosen the best response.0we can still do it though, it is not that hard

misty1212
 one year ago
Best ResponseYou've already chosen the best response.0we need a variable lets call the number of gallons of 15% solution \(x\) then since the total number of gallons of solution is 125, the amount of 7% solution is \(125x\) so far so good?

misty1212
 one year ago
Best ResponseYou've already chosen the best response.0this is where you say "yes i get it so far" or "no where did the \(125x\) come from?"

misty1212
 one year ago
Best ResponseYou've already chosen the best response.0ok the 15% part with \(x\) gallons gives \[0.15x\] solution and the remaining \(125x\) gives \[0.07(125x)\] and the total you want to be \(0.12\times 125\) solution

misty1212
 one year ago
Best ResponseYou've already chosen the best response.0we can do this by solving \[0.15x+0.07(125x)=0.12\times 125\] or get rid of the annoying decimal points and solve \[15x+7(125x)=12\times 125\]

misty1212
 one year ago
Best ResponseYou've already chosen the best response.0now it is a more or less routine linear equation to solve

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay so 15x+8757x=12 x 125

misty1212
 one year ago
Best ResponseYou've already chosen the best response.0yea now combine like terms etc

anonymous
 one year ago
Best ResponseYou've already chosen the best response.08x+875=12 x 125 4x + 875=125 4x=750 x=187.5

misty1212
 one year ago
Best ResponseYou've already chosen the best response.0i think there is a mistake somewhere here

misty1212
 one year ago
Best ResponseYou've already chosen the best response.0the 12 got dropped somewheres

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh yes i did somehow. it would be.. x=78.125

misty1212
 one year ago
Best ResponseYou've already chosen the best response.0that is what i get too
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