SOLUTION: Can you please help me with this problem? I think it's linear. It would help if you could show me how to set up the equation with step by step instructions. Thanks! ** A customer

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Can you please help me with this problem? I think it's linear. It would help if you could show me how to set up the equation with step by step instructions. Thanks! ** A customer       Log On


   

Question 30907: Can you please help me with this problem? I think it's linear. It would help if you could show me how to set up the equation with step by step instructions. Thanks! ** A customer has asked a caterer to provide 60 lb. of nuts, 60% of which are to be cashews. The caterer has available mixtures of 70% cashews and 45% cashews. How many pounds of each mixture should be used to meet the customer's needs?
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
Let the mixutre for 45% be x

Let the mixture for 70% be y

y=60-x (subsitution)

45x+70y=60(60)

Apply subsitution:

45x+70(60-x)=3600

45x-70x+4200=3600

-25x=-600

x=24



y=60-24

y=36

Hence, about 24 lb of miture for 45% is needed and about 36lb of mixture for 70% is needed.

Paul.