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Math Help - Intermediate Algebra question

  1. #1
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    Arrow Intermediate Algebra question

    I have a test tomorrow in my Intermediate Algebra class and need this problem solved.
    Please help me. Thank you!

    Randall wants to mix 50 lb of nuts worth $2 per lb with some nuts worth $6 per lb to make a mixture worth $5 per lb. How many pounds of $6 nuts must he use?

    The answer is 150lb, but I don't know how to get to that.
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Justiceapple View Post
    I have a test tomorrow in my Intermediate Algebra class and need this problem solved.
    Please help me. Thank you!

    Randall wants to mix 50 lb of nuts worth $2 per lb with some nuts worth $6 per lb to make a mixture worth $5 per lb. How many pounds of $6 nuts must he use?

    The answer is 150lb, but I don't know how to get to that.
    Let x be the pounds of $6 nuts needed, which would cost $6x.

    The cost of the $2 nuts is $100.

    The weight of the mixture will be 50 + x.


    We want the cost per pound = (total cost)/(total weight) = 5

    => (100 + 6x)/(50 + x) = 5

    Now solve for x
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  3. #3
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    (100 + 6x)/(50 + x) = 5

    My calculation doesn't say 150...
    How does this become 150???
    Thank you...
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Justiceapple View Post
    (100 + 6x)/(50 + x) = 5

    My calculation doesn't say 150...
    How does this become 150???
    Thank you...
    how did you try to solve this? post your work.
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  5. #5
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    I tried to divide (100 + 6x) by (50 + x) = 5
    so, 100 and 50 became 2, 6x/x became 6x, =5.

    2+6x= 5....???
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  6. #6
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Justiceapple View Post
    I tried to divide (100 + 6x) by (50 + x) = 5
    so, 100 and 50 became 2, 6x/x became 6x, =5.

    2+6x= 5....???
    no no no. what rules told you you can do that? that is not mathematically sound. \frac{a + b}{c + d} ~{\color{red} \ne}~ \frac ac + \frac bd. make sure you do not do something like that on your test tomorrow (!)

    begin by multiplying both sides by (50 + x). what happens?


    (by the way, 6x/x = 6, not 6x)
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  7. #7
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    wow!

    WOWWWWW!!! I really said "Wooow!!" out loud when I solved it
    Thank you!!!!! so much!
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  8. #8
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Justiceapple View Post
    WOWWWWW!!! I really said "Wooow!!" out loud when I solved it
    Thank you!!!!! so much!
    ok, good job

    keep studying
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