SOLUTION: a 10lb mixture of peanuts and cashews sells for $5.32 per lb. The price of peanuts is $3.60 per lb and the price of cashews is $7.90 . How many lbs of each type is in the mixture

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Question 398223: a 10lb mixture of peanuts and cashews sells for $5.32 per lb. The price of peanuts is $3.60 per lb and the price of cashews is $7.90 . How many lbs of each type is in the mixture
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let a = pounds of peanuts in mix
Let b = pounds of cashews in mix
given:
(1) a+%2B+b+=+10 pounds
%28360a+%2B+790b%29+%2F10+=+532 (in cents)
(2) 360a+%2B+790b+=+5320
Multiply both sides 0f (1) by 360,
and subtract (1) from (2)
(2) 360a+%2B+790b+=+5320
(1) -360a+-+360b+=+-3600
430b+=+1720
b+=+4
and, since
a+%2B+b+=+10
a+=+6
There are 6 pounds of peanuts in mix
There are 4 pounds of cashews in mix
check:
%28360a+%2B+790b%29+%2F10+=+532
%28360%2A6+%2B+790%2A4%29+%2F10+=+532
%282160+%2B+3160%29%2F10+=+532
5320%2F10+=+532
532+=+532
OK