SOLUTION: A grocery store sells a mixture of peanuts and raisins for $1.75 per pound. If peanuts cost $1.25 per pound and raisins cost $2.75 per pound, what amount of raisins ans peanuts go

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A grocery store sells a mixture of peanuts and raisins for $1.75 per pound. If peanuts cost $1.25 per pound and raisins cost $2.75 per pound, what amount of raisins ans peanuts go      Log On


   

Question 73770This question is from textbook Algebra I
: A grocery store sells a mixture of peanuts and raisins for $1.75 per pound. If peanuts cost $1.25 per pound and raisins cost $2.75 per pound, what amount of raisins ans peanuts go into 1 pound of the mixture? This question is from textbook Algebra I

Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
ALL THESE PROBLEMS HAVE A STANDARD FORMULA TO SOLVE:
TOTAL POUNDAGE * COST = AMOUNT #1 * COST + AMOUNT #2 * COST
TOTAL POUND * 1.75 = (UNKNOWN POUNDS) * 1.25 + (TOTAL POUNDS - UNKNOWN POUNDS) * 2.75
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1.75=1.25X+2.75(1-X)
1.75=1.25X+2.75-2.75X
1.75-2.75=-1.5X
-1=-1.5X
X=-1/-1.5
X=2/3 POUNDS OF 1.25 PEANUTS.
1-2/3=1/3 POUNDS OF RAISONS.
PROOF
1.75=1.25(2/3)+2.75(1/3)
1.75=2.5/3+2.75/3
1.75=5.25/3
1.75=1.75