To make a special mix, the owner of a fruit stand wants to combine cashews that sell for $7.00 per lb with walnuts that sell for $5.50 per lb to obtain a 35 lb hat sells for $6.50 per lb. How many pounds of each type of nut should be used in the mixture?

Answer 1

adding up the value of each part needs to equal the value of the total mixture. So, if x lbs of cashews are used,

7.00x + 5.50(35-x) = 6.50(35)
x = 23 1/3 lbs cashews