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)   (Show Source): You can put this solution on YOUR website!
Let = pounds of cashews bought
Let = pounds of raisins bought
given:
(1) lb
(2) (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)
(1)
(3)
(3)
Plug this result back into (1)
(1)
(1)
She bought 1.5 lb of cashews and 4.5 lb of raisins
check answer:
(2)
(2)
(2)
(2)
OK

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