Question

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

Answer 1

Answer: See below

Step-by-step explanation:

x, amount of cashews

39-x, amount of Brazil nuts

$\frac{7.3x+4.3\left(39-x\right)}{39}\:=\:5.53$

$\frac{39\left(7.3x+4.3\left(39-x\right)\right)}{39}=5.53\cdot \:39$

$3x+167.7=215.67$

$3x=47.97$

$x=15.99$

Amount of cashews = 15.99 - 16 lbs

Amount of Brazil nuts = 39 - x = 23.01 lbs