SOLUTION: A grocer wishes to mix peanuts worth .90 per pound with walnuts worth $1.60 per pound to make 175 pounds of a mixture that is worth $1.30 per pound. How much of each nut should she

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: A grocer wishes to mix peanuts worth .90 per pound with walnuts worth $1.60 per pound to make 175 pounds of a mixture that is worth $1.30 per pound. How much of each nut should she      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 972705: A grocer wishes to mix peanuts worth .90 per pound with walnuts worth $1.60 per pound to make 175 pounds of a mixture that is worth $1.30 per pound. How much of each nut should she use?
Found 2 solutions by josmiceli, lwsshak3:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = pounds of peanuts needed
Let +b+ = pounds of walnuts needed
---------------
(1) +%28+.9a+%2B+1.6b+%29+%2F+175+=+1.3+
(2) +a+%2B+b+=+175+
----------------------
(1) +.9a+%2B+1.6b+=+1.3%2A175+
(1) +.9a+%2B+1.6b+=+227.5+
(1) +9a+%2B+16b+=+2275+
Multiply both sides of (2) by +9+
and subtract (2) from (1)
(1) +9a+%2B+16b+=+2275+
(2) +-9a+-+9b+=+-1575+
-------------------------
+7b+=+700+
+b+=+100+
and
(2) +a+%2B+100+=+175+
(2) +a+=+75+
---------------------
75 pounds of peanuts and 100 pounds
of walnuts are needed
-----------------------
check:
(1) +%28+.9a+%2B+1.6b+%29+%2F+175+=+1.3+
(1) +%28+.9%2A75+%2B+1.6%2A100+%29+%2F+175+=+1.3+
(1) +%28+67.5+%2B+160+%29+%2F+175+=+1.3+
(1) +227.5+%2F+175+=+1.3+
(1) +227.5+=+227.5+
OK

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
A grocer wishes to mix peanuts worth .90 per pound with walnuts worth $1.60 per pound to make 175 pounds of a mixture that is worth $1.30 per pound. How much of each nut should she use?
***
let x=amt of peanuts to mix
175-x=amt of walnuts to mix
..
.90x+1.60(175-x)=1.30*175
.90x+280-1.6x=227.50
0.70x=52.50
x=75
175-x=100
amt of peanuts to mix=75 lbs
amt of walnuts to mix=100 lbs