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Intermediate Algebra (Math)

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Mixed nuts. Oh Nuts! sells pistachio kernels for $6.50 per pound and almonds for $8.00 per pound. How much of each type should be used to make a 50-lb mixture that sells for $7.40 per pound?
So far I have, this:
6.50x + 8 (50 - x) = 7.40 (50)
6.50x + 400 - 8x = 370
-1.50x + 400 = 370
-1.50x = 30
x = 30/=1.50
x = 30 pounds of pistachios

so

50 - x = 50 - 30 = 20 pounds of almonds.

Can anyone help to let me know if I got his correct or not or please tell me where I went wrong. Math is not one of my strongest subjects and any help would be great.... Thanks in advance........

  • Intermediate Algebra (Math) -

    You are good up until here..
    -1.50x + 400 = 370 (this is correct)
    Then when you subtract 400 from both sides you get
    -1.50x=-30
    Divide both sides by -1.5
    x=20 lbs of pistachios, and 30 lbs of almonds

  • Intermediate Algebra (Math) -

    from ..
    -1.50x + 400 = 370
    -1.5x = -30
    x = -30/-1.5 = 20

    so 20 pounds of pistachio
    and 50-20 or 30 pounds of almonds

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