anonymous
  • anonymous
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 AX-14. Brain received only containers with 7% solution and 15% concentrations of test chemical AX-14. How much of each chemical should brian mix to run his trial?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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misty1212
  • misty1212
HI!!
anonymous
  • anonymous
HI!
misty1212
  • misty1212
don't you hate word problems?
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misty1212
  • misty1212
we can still do it though, it is not that hard
anonymous
  • anonymous
haha yes very much!
misty1212
  • misty1212
we 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 \(125-x\) so far so good?
misty1212
  • misty1212
this is where you say "yes i get it so far" or "no where did the \(125-x\) come from?"
anonymous
  • anonymous
okay i get it
misty1212
  • misty1212
ok the 15% part with \(x\) gallons gives \[0.15x\] solution and the remaining \(125-x\) gives \[0.07(125-x)\] and the total you want to be \(0.12\times 125\) solution
misty1212
  • misty1212
we can do this by solving \[0.15x+0.07(125-x)=0.12\times 125\] or get rid of the annoying decimal points and solve \[15x+7(125-x)=12\times 125\]
misty1212
  • misty1212
now it is a more or less routine linear equation to solve
anonymous
  • anonymous
okay so 15x+875-7x=12 x 125
misty1212
  • misty1212
yea now combine like terms etc
anonymous
  • anonymous
8x+875=12 x 125 -4x + 875=125 -4x=-750 x=187.5
misty1212
  • misty1212
i think there is a mistake somewhere here
misty1212
  • misty1212
the 12 got dropped somewheres
misty1212
  • misty1212
\[8x+875=1500\]
misty1212
  • misty1212
\[8x=625\]
anonymous
  • anonymous
oh yes i did somehow. it would be.. x=78.125
misty1212
  • misty1212
that is what i get too
anonymous
  • anonymous
okay thank you

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