contestada

The Nutty Professor sells cashews for $7.30 per pound and Brazil nuts for $4.30 per pound. How much of each type should be used to make a 39 pound mixture that sells for $5.53 per pound

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Snor1ax

Answer: See below

Step-by-step explanation:

x, amount of cashews

39-x, amount of Brazil nuts

[tex]\frac{7.3x+4.3\left(39-x\right)}{39}\:=\:5.53[/tex]

[tex]\frac{39\left(7.3x+4.3\left(39-x\right)\right)}{39}=5.53\cdot \:39[/tex]

[tex]3x+167.7=215.67[/tex]

[tex]3x=47.97[/tex]

[tex]x=15.99[/tex]

Amount of cashews = 15.99 - 16 lbs

Amount of Brazil nuts = 39 - x = 23.01 lbs

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