SOLUTION: Kate wants to prepare a snack mix comprised of peanuts and dried fruit. Peanuts cost $7 a pound and dried fruit costs $5 a pound. Kate wants to spend exactly $45 and prepare 8 poun

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons  -> Linear Equations Lesson -> SOLUTION: Kate wants to prepare a snack mix comprised of peanuts and dried fruit. Peanuts cost $7 a pound and dried fruit costs $5 a pound. Kate wants to spend exactly $45 and prepare 8 poun      Log On


   

Question 364438: Kate wants to prepare a snack mix comprised of peanuts and dried fruit. Peanuts cost $7 a pound and dried fruit costs $5 a pound. Kate wants to spend exactly $45 and prepare 8 pounds of her snack mix. How many pounds of peanuts should Kate purchase, and how many pounds of dried fruit should Kate purchase? Show work.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Peanuts cost $7 a pound . let this be x pounds
and dried fruit costs $5 a pound. this will be 8-x pounds
Mix cost $45 and prepare 8 pounds
...
cost equation
7x+5*(8-x)= 45
2x+40-5x=45
2x=45-40
2x=5
/2
x=5/2 pounds of peanuts
=2.5 pounds
balance 5.5 pounds of fruit
...
m.ananth@hotmail.ca