You have one type of nut that sells for $2.80/lb and another type of nut that sells for $5.30/lb. You would like to have 12.5 lbs of a nut mixture that sells for $3.80/lb. How much of each nut will you need to obtain the desired mixture?

Step-by-step explanation:

GIVEN: You have one type of nut that sells for and another type of nut that sells for . You would like to have of a nut mixture that sells for  

TO FIND: How much of each nut will you need to obtain the desired mixture.

SOLUTION:

Rate of first type of nut  

Rate of second type of nuts  

Total amount of nut mixture

let the total quantity of first type of nut be

quantity of second type of nuts

Now,

rate of new nut mixture

rate of new mixture putting values

quantity of first type of nuts

quantity of second type of nuts

Hence of first type of nuts and of second type of nuts are required to obtain the desired mixture.