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

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.
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
This lesson is for this typical two-part mix type problem:
https://www.algebra.com/my/Mixtures%3A-All-in-Symbols.lesson?content_action=show_dev

c Cashews pounds
p Pecans pounds

, and .

You seem to show the correct equations. Look for some small arithmetic mistake you must be making.
Answer by josmiceli(19441)   (Show Source): 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)
-------------------------------------
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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