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

Explanation:

x, amount of cashews

39-x, amount of Brazil nuts

`(7.3x+4.3\left(39-x\right))/(39)\:=\:5.53`

`(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