SOLUTION: A grocer mixed pecans worth $1.12 per pound with cashews worth $0.60 per pound. If she made 100 pounds of a mixture worth $0.73 per pound, how many pounds of pecans are in the mixt
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Question 1066871: A grocer mixed pecans worth $1.12 per pound with cashews worth $0.60 per pound. If she made 100 pounds of a mixture worth $0.73 per pound, how many pounds of pecans are in the mixture? I have tried many times to solve this problem and I cant get it wrong otherwise I get a 0. If you can give me the equations to use I can solve it easily. I have tried the equation 1.12p+.6c=100*.73 and p+c=100 but I get a repeating decimal that doesnt work. thank you for your time. Found 3 solutions by Boreal, josgarithmetic, josmiceli:Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! x=pecans, y=cashews
x+y=100
1.12x+0.60y=100*0.73=73
x+y=100
x=100-y
1.12(100-y)+0.60 y=73
112-1.12y+0.60y=73
-0.52y=-39
y=75 pounds of cashews @0.60=$45
x=25 pounds of pecans @1.12=$28
Total $73.
You set it up fine. I did substitution, but you could do elimination.
You can put this solution on YOUR website! Here's the way I solve this type of problem:
Let = pounds of pecans in mixture
Let = pounds of cashews in mixture
-----------------------------------------
(1)
(2)
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You did the same thing so far
(2)
Multiply both sides by
(2)
Divide both sides by
(2)
---------------------------------
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
----------------------------
and
(1)
(1)
(1)
----------------------
25 pounds of pecans in the mixture
75 pounds of cashews in the mixture
-----------------------------------
check:
(2)
(2)
(2)
(2)
OK
Sorry I did the whole thing -got carried away
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