Problema Solution
Shop sells walnuts for $4 a pound and cashews for $7 a pound. How many pounds of cashews should be mixed with 10 pounds of walnuts to obtain a mixture that sells for $5.50 a pound?
Answer provided by our tutors
let
x = the weight of the cashews needed for the mix
the cost of 10 pounds of walnuts is 10*4 = $14
the cost of x pounds of cashews is x*7
the cost of (10 + x) pounds of mix will be 5.50*(10 + x)
14 + 7x = 5.50 (10 + x)
by solving this equation we find
x = 82/3
x = 27.33 pounds
27.33 pounds cashews should be used for the mix.