SOLUTION: A candy maker mixed marshmallows worth $1.80 a pound with rice crisipes worth $3.20 a pound to make 50 pounds of a rice crispie treats worth $2.92 a pound. Find the number of pound

Question 1072588: A candy maker mixed marshmallows worth $1.80 a pound with rice crisipes worth $3.20 a pound to make 50 pounds of a rice crispie treats worth $2.92 a pound. Find the number of pounds of each item used.
I need help on this please help me :o
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A candy maker mixed marshmallows worth $1.80 a pound with rice crispies worth $3.20 a pound to make 50 pounds of a rice crispie treats worth $2.92 a pound. Find the number of pounds of each item used.
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weight:: m + r = 50 lbs
Value:::1.8m+3.2r = 2.92*50
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1.8m + 3.2(50-m) = 147.5
1.8m + 160 - 3.2m = 147.5
1.4m = 12.5
m = 8.93 lbs (amt. of marshmallows needed)
r = 41.07 lbs (amt. of rice crispies)
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Cheers,
Stan H.
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Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = pounds of MM used
Let = pounds of RC used
---------------------------------
(1)
(2)
----------------------------------
(2)
(2)
(2)
(2)
Multiply both sides of (1) by and
subtract (1) from (2)
(2)
(1)
-------------------------

and
(1)
(1)
(1)
-------------------------
10 pounds of MM are needed
40 pounds of RC are needed
-------------------------------
check:
(2)
(2)
(2)
(2)
(2)
OK

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