SOLUTION: A STORE SELLS FOOD IN BULK. CASHEWS SELL FOR $7.95 PER POUND AND RAISINS SELL FOR $1.95 PER POUND. IF HELEN PAYS $20.70 FOR A 6 POUND MIXTURE OF CASHEWS AND RAISINS, HOW MUCH OF EA

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Question 183449This question is from textbook
: A STORE SELLS FOOD IN BULK. CASHEWS SELL FOR $7.95 PER POUND AND RAISINS SELL FOR $1.95 PER POUND. IF HELEN PAYS $20.70 FOR A 6 POUND MIXTURE OF CASHEWS AND RAISINS, HOW MUCH OF EACH ITEM DID SHE BUY? This question is from textbook

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let c= pounds of cashews bought
Let r= pounds of raisins bought
given:
(1) c+%2B+r+=+6 lb
(2) 795c+%2B+195r+=+2070 (numbers are cents)
2 equations and 2 unknowns mean it's solvable
----------------------------
Multiply both sides of (1) by 195 and subtract it
from (2)
(2) 795c+%2B+195r+=+2070
(1) -195c+-+195r+=+-1170
(3) 600c+=+900
(3) c+=+1.5
Plug this result back into (1)
(1) 1.5+%2B+r+=+6
(1) r+=+4.5
She bought 1.5 lb of cashews and 4.5 lb of raisins
check answer:
(2) 795c+%2B+195r+=+2070
(2) 795%2A1.5+%2B+195%2A4.5+=+2070
(2) 1192.5+%2B+877.5+=+2070
(2) 2070+=+2070
OK