SOLUTION: The owner of Nuts2U Snack Shack mixes cashews worth $5.50 a pound with peanuts worth $2.30 a pound to get a half-pound, mixed-nut bag worth $1.70. How much of each kind of nut is i

Algebra ->  Functions -> SOLUTION: The owner of Nuts2U Snack Shack mixes cashews worth $5.50 a pound with peanuts worth $2.30 a pound to get a half-pound, mixed-nut bag worth $1.70. How much of each kind of nut is i      Log On


   



Question 1043947: The owner of Nuts2U Snack Shack mixes cashews worth $5.50 a pound with peanuts worth $2.30 a pound to get a half-pound, mixed-nut bag worth $1.70. How much of each kind of nut is included in the mixed bag?

I need step by step help on this please.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = pounds of cashews needed
Let +b+ = pounds of peanuts needed
----------------------------------
(1) +a+%2B+b+=+.5+
(2) +5.5a+%2B+2.3b+=+1.7+
------------------------
(2) +55a+%2B+23b+=+17+
Multiply both sides of (1) by +23+ and
subtract (1) from (2)
(2) +55a+%2B+23b+=+17+
(1) +-23a+-+23b+=+-11.5+
--------------------------
+32a+=+5.5+
+a+=+.1719+
and
(1) +.1719+%2B+b+=+.5+
(1) +b+=+.3281
--------------------
.1719 pounds of cashews are needed
.3281 pounds of peanuts are needed
--------------------------------
check:
(2) +5.5a+%2B+2.3b+=+1.7+
(2) +5.5%2A.1719+%2B+2.3%2A.3281+=+1.7+
(2) +.94545+%2B+.75463+=+1.7+
(2) +1.70008+=+1.7+
close enough
You might want a 2nd opinion also