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feedmemikey Group Title

A sporting goods store has added a section with trail foods and snacks. Raisins cost $5.00 per pound and peanuts cost $3.80 per pound. Raisins and peanuts are going to be sold in a mixture of 30 pounds which will cost $4.05 per pound? How many pounds of raisins will be in the mix?

  • 2 years ago
  • 2 years ago

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  1. feedmemikey Group Title
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    My education in math basically stopped at 6th grade. Could someone help me, please? I feel exremely stupid for not understanding what I am to do about this problem.

    • 2 years ago
  2. gandalfwiz Group Title
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    Dang, mixture problems. I'm in an 11th grade math course, we did this at the begginning of the year, and I've completely forgotten. I'm sure you're not the only one :) Let me pull out my old books...

    • 2 years ago
  3. satellite73 Group Title
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    \[5x+3.80(30-x)=30\times 4.05\] solve for x

    • 2 years ago
  4. feedmemikey Group Title
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    That is just numbers to me. Please take it step by step.

    • 2 years ago
  5. satellite73 Group Title
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    reason as follows put x as the pounds of raisins then since the total is 30 pounds, the number of pounds of peanuts must be 30- x

    • 2 years ago
  6. feedmemikey Group Title
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    I multiply 30 by x? What is x?

    • 2 years ago
  7. satellite73 Group Title
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    you want 30 pounds of mixute that cost 4.05 per pound, so the total cost should be \[4.05\times 30 = 112.50\]

    • 2 years ago
  8. satellite73 Group Title
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    hold on lets start again slowly

    • 2 years ago
  9. feedmemikey Group Title
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    Okay.

    • 2 years ago
  10. satellite73 Group Title
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    you are looking for what? two numbers. one is the number of pounds of raisins the other is the number of pounds of peanuts

    • 2 years ago
  11. satellite73 Group Title
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    you don't know either of these two numbers, so you first need to name a variable, and the variable should be one of the two numbers. i used x, you can use whatever you like you should write down what your variable represents i write "let x be the number of pounds of raisins"

    • 2 years ago
  12. satellite73 Group Title
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    now i know that if we have "x" pounds of raisins we must have \[30-x\] pounds of peanuts. why? because the total is 30 so for example if you have 5 pounds of raisins you would have 25 pounds of peanuts, and if you had 10 pounds of raising you would need 20 pounds of peanuts, and more generally if you have "x" pounds of raisins you must have \[30-x\] pounds of peanuts

    • 2 years ago
  13. satellite73 Group Title
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    how are we doing so far?

    • 2 years ago
  14. satellite73 Group Title
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    ?

    • 2 years ago
  15. feedmemikey Group Title
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    So, I am to find what x is? So x is less than 30?

    • 2 years ago
  16. satellite73 Group Title
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    you wrote "Raisins and peanuts are going to be sold in a mixture of 30 pounds..."

    • 2 years ago
  17. satellite73 Group Title
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    that means that the total is 30

    • 2 years ago
  18. feedmemikey Group Title
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    Yes, but you wanted me to take x away from 30, so x is less than 30, no?

    • 2 years ago
  19. satellite73 Group Title
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    when i wrote \[30-x\] is the number of pounds of peanuts, that is because the pounds of peanuts and the pounds of raisins have to add to 30

    • 2 years ago
  20. satellite73 Group Title
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    yes both numbers must be less than 30 because you will have 30 pounds total

    • 2 years ago
  21. feedmemikey Group Title
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    Alright.

    • 2 years ago
  22. satellite73 Group Title
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    now rasins cost $5 a pound if you have 2 pounds of raisins it will cost $10 if you have 4 pounds of raisins it will cost $20 if you have 7 pounds of raisins it will cost $35 more generally if you have x pounds of raisins it will cost 5x dollars

    • 2 years ago
  23. feedmemikey Group Title
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    Okay. I understand what you wrote.

    • 2 years ago
  24. satellite73 Group Title
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    likewise if you have \[30-x\] pounds of peanuts, because they cost $3.80 a pound the total cost will be \[3.80\times (30-x)\] for the peanuts

    • 2 years ago
  25. feedmemikey Group Title
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    Right.

    • 2 years ago
  26. satellite73 Group Title
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    now we write down what the total cost will be two different ways. one was is easy we have 30 pounds and the cost per pound is $4.05 (because you are told) "30 pounds which will cost $4.05 per pound"

    • 2 years ago
  27. feedmemikey Group Title
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    So I multiply $4.05 until I get $30?

    • 2 years ago
  28. satellite73 Group Title
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    so we multiply to get the total cost. it must be \[4.05]\times 30 =\$121.50\]

    • 2 years ago
  29. satellite73 Group Title
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    no you multiply the cost per pound times the number of pounds

    • 2 years ago
  30. satellite73 Group Title
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    you know you have 30 pounds you know it cost $4.05 per pound so you know the total cost will be $121.50 by multiplication

    • 2 years ago
  31. satellite73 Group Title
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    so we actually know what the total cost is, it is number we can compute

    • 2 years ago
  32. feedmemikey Group Title
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    What do they want me to find? The amount (money-wise) it takes for raisins to get to 30 lbs.?

    • 2 years ago
  33. satellite73 Group Title
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    on the other hand, we have an expression for the cost of the raisins. that expression is \[5x\] and we also have an expression for the total cost of the peanuts, that expression is \[3.80(30-x)\] so another expression for the total of both is what you get when you add them up namely \[5x+3.80(30-x)\]

    • 2 years ago
  34. satellite73 Group Title
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    no go back and make sure you remember what the problem is asking for "how many pounds..."

    • 2 years ago
  35. feedmemikey Group Title
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    This is much too complicated for me, I'm sorry.

    • 2 years ago
  36. satellite73 Group Title
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    so we have two expressions for the total cost, one is \[5x+3.80(30-x)\] the other is 121.50 so write \[5x+3.08(30-x)=121.50\] and solve for x

    • 2 years ago
  37. feedmemikey Group Title
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    Like I said, I stopped progressing in math at 6th grade. I'm technically in 11th grade now.

    • 2 years ago
  38. satellite73 Group Title
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    ok well all the steps are there, that is i wrote them all down. if you have time see if you can understand what the steps entail and why they work the way they do on the other hand if you cannot solve the above equation we are truly stuck. good luck

    • 2 years ago
  39. feedmemikey Group Title
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    I'm sorry for wasting your time. I'm a dead end when it comes to math :(

    • 2 years ago
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