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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 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?

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  1. misty1212
    • one year ago
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    HI!!

  2. anonymous
    • one year ago
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    HI!

  3. misty1212
    • one year ago
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    don't you hate word problems?

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  4. misty1212
    • one year ago
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    we can still do it though, it is not that hard

  5. anonymous
    • one year ago
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    haha yes very much!

  6. misty1212
    • one year ago
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    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?

  7. misty1212
    • one year ago
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    this is where you say "yes i get it so far" or "no where did the \(125-x\) come from?"

  8. anonymous
    • one year ago
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    okay i get it

  9. misty1212
    • one year ago
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    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

  10. misty1212
    • one year ago
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    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 \[15x+7(125-x)=12\times 125\]

  11. misty1212
    • one year ago
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    now it is a more or less routine linear equation to solve

  12. anonymous
    • one year ago
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    okay so 15x+875-7x=12 x 125

  13. misty1212
    • one year ago
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    yea now combine like terms etc

  14. anonymous
    • one year ago
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    8x+875=12 x 125 -4x + 875=125 -4x=-750 x=187.5

  15. misty1212
    • one year ago
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    i think there is a mistake somewhere here

  16. misty1212
    • one year ago
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    the 12 got dropped somewheres

  17. misty1212
    • one year ago
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    \[8x+875=1500\]

  18. misty1212
    • one year ago
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    \[8x=625\]

  19. anonymous
    • one year ago
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    oh yes i did somehow. it would be.. x=78.125

  20. misty1212
    • one year ago
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    that is what i get too

  21. anonymous
    • one year ago
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    okay thank you

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