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anonymous

  • 5 years ago

A 50-pound bag of feed is a mixture of two brands. Brand A costs $2.00 per pound and Brand B costs $1.00 per pound. The mixture is worth $1.34 per pound. How many pounds of each brand are in the mixture?

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  1. anonymous
    • 5 years ago
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    you have to make the equations first

  2. amistre64
    • 5 years ago
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    a+b = 50 a(2) + b(1) = 50(1.34)

  3. amistre64
    • 5 years ago
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    b = 50 - a

  4. amistre64
    • 5 years ago
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    2a + (50-a) = 50(1.34) a + 50 = 50(1.34) a = 50(1.34) - 50

  5. anonymous
    • 5 years ago
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    a = 17 b = 33

  6. amistre64
    • 5 years ago
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    a = 50(1.34-1) a = 50(.34)

  7. amistre64
    • 5 years ago
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    yep...a = 17 b = 50-17 b = 33..... yep :)

  8. amistre64
    • 5 years ago
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    kecky; does that make sense?

  9. anonymous
    • 5 years ago
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    yep i also got the same answer

  10. anonymous
    • 5 years ago
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    yes

  11. amistre64
    • 5 years ago
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    good :) youre a smart cookie :)

  12. anonymous
    • 5 years ago
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    can you do this step by step

  13. amistre64
    • 5 years ago
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    yes...

  14. anonymous
    • 5 years ago
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    can you use x and y

  15. amistre64
    • 5 years ago
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    what do we know? we know that "a" and "b" equal 50 pounds: a + b = 50 we should solve for one of these... i choose "b" You can use x and y if its easier for you; its just calling it a different name.

  16. amistre64
    • 5 years ago
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    lets use x and y: x + y = 50 ... now solve for "y" {or x, your choice}

  17. anonymous
    • 5 years ago
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    y=-x+50

  18. amistre64
    • 5 years ago
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    good: now we also know that the 50 pounds bag costs 1.34 for "each pound". we know that either x or y at this point have a price "for each pound" right?

  19. anonymous
    • 5 years ago
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    yes

  20. amistre64
    • 5 years ago
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    lets apply that knowledge: x(2.00) means whatever x is, the price will be 2 dollars for every "x" pounds...makes sense? x(2) + y(1) = 50(1.34) Does this make sense to you? and if not, let me know....

  21. anonymous
    • 5 years ago
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    is it just like 2x+1y=50(1.34)

  22. anonymous
    • 5 years ago
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    i think amistre is true...

  23. amistre64
    • 5 years ago
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    that is exactly correct; now we substitute; or use the "value" we found for "y" in this equation to solve: remember y=-x+50 can you plug that into the equation for me?

  24. amistre64
    • 5 years ago
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    thanx tian :)

  25. anonymous
    • 5 years ago
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    x y or a b is just a matter of notations, you're free to use what you want

  26. anonymous
    • 5 years ago
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    yes 2x+1(-x+50)=1.34(50)

  27. amistre64
    • 5 years ago
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    very good "ochin hoorah-show"!! :) do you know how to solve for "x" with this equation now?

  28. anonymous
    • 5 years ago
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    2x-1x+50=67

  29. amistre64
    • 5 years ago
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    so far so good.... whats next?

  30. anonymous
    • 5 years ago
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    put to the xs and take 50-67

  31. amistre64
    • 5 years ago
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    lets try that "one step" at a time, so that we get it right and dont trip over anything ok? which one do you want to do first...doesnt matter, pick your favorite.

  32. anonymous
    • 5 years ago
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    2-1=1

  33. amistre64
    • 5 years ago
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    good; so 2x - 1x = 1x right? we know have: x + 50 = 67 whats next?

  34. anonymous
    • 5 years ago
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    67-50=17 x=17

  35. amistre64
    • 5 years ago
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    terrific!! now that we know for sure the value of "x"; it equals 17. we can figure out our first equation: x + y = 50 How do we know what value y is now?

  36. anonymous
    • 5 years ago
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    50-17=33 y=33

  37. amistre64
    • 5 years ago
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    exactly.... good job :) does it make better sense now? to double check our work; we can use these x and y values in the other equation we came up with: x(2) + y(1) = 50(1.34) 17(2) + 33(1) = 67 34 + 33 = 67 67 = 67 ... it checks out great :)

  38. anonymous
    • 5 years ago
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    @amistre64 are you a teacher? you explained the solution very well

  39. anonymous
    • 5 years ago
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    yes it does thank you!

  40. amistre64
    • 5 years ago
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    dind; nah, just old and senile :)

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