SOLUTION: The manager of a specialty food store combined almonds that cost $6.60 per pound with walnuts that cost $5.60 per pound. How many pounds of each were used to make a 100-pound mixt

Algebra ->  Equations -> SOLUTION: The manager of a specialty food store combined almonds that cost $6.60 per pound with walnuts that cost $5.60 per pound. How many pounds of each were used to make a 100-pound mixt      Log On


   

Question 1196969: The manager of a specialty food store combined almonds that cost $6.60 per pound with walnuts that cost $5.60 per pound. How many pounds of each were used to make a 100-pound mixture that costs $6.03 per pound?
Almonds_______LB
Wallunts_____ LB
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Step 1. Let x be the number of pounds of almonds.


Step 1. Let x be the number of pounds of almonds.
Step 2. Let 100-x be the number of pounds of walnuts since we have a 100-pound mixture.
Step 3. Let 6.60x be the dollar value of almonds.
Step 4. Let 5.60%28100-x%29 be the dollar value of walnuts.
Step 5. Let 6.60x%2B5.60%28100-x%29=6.03%2A100 for a one-hundred pound mixture.

Step 6. Solve the equation 6.60x%2B5.60%28100-x%29=6.03%2A100
6.60x%2B560+-+5.60x=603

6.60x+-+5.60x=603-560
x=43 -> the number of pounds of almonds
100-x=100-43=57 -> the number of pounds of walnuts

answer:
Almonds_ 43_LB
Wallunts_ 57_ LB