SOLUTION: I need help with theese two question, Please. 1. The Nutty Professor store wishes to mix peanuts that sell for $2 per pound with cashews that sell for $6 per pound. The store

Question 55206: I need help with theese two question, Please.
1. The Nutty Professor store wishes to mix peanuts that sell for $2 per pound with cashews that sell for $6 per pound. The store plans to use five pounds more of peanuts than cashews and sell the mixture for $26. How many pounds of each nut should be used in the mixture?
AND this question too!
2. A stock portfolio is currently valued at $5872.44. IBM is currently selling at $82.01 per share and Microsoft is currently selling at $26.52 per share. If the number of IBM shares is 25 less than the number of Microsoft shares, find the number of shares of each.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
1. The Nutty Professor store wishes to mix peanuts that sell for $2 per pound with cashews that sell for $6 per pound. The store plans to use five pounds more of peanuts than cashews and sell the mixture for $26. How many pounds of each nut should be used in the mixture?
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Let amount of cashews be "x" lbs ; Value of these is 6x dollars
Amount of peanuts is "x+5" lbs ; Value of these is 2(x+5)=2x+10 dollars
EQUATION:
value + value = 26 dollars
6x+2x+10=26
8x=16
x=2 lbs. (amount of cashews in the mixture)
x+5=7 lbs.(amount of cashews in the mixture)
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2. A stock portfolio is currently valued at $5872.44. IBM is currently selling at $82.01 per share and Microsoft is currently selling at $26.52 per share. If the number of IBM shares is 25 less than the number of Microsoft shares, find the number of shares of each.
-------
Let number of Micro shares be "x" ; Value of these is 26.52x dollars
Number of IBM shares is "x-25" ; Val of these is 82.01(x-25)=$(82.01x-2050.25)
EQUATION:
value + value=5872.44 dollars
26.52x+82.01x-2050.25=5872.44
108.53x=7922.69
x=73 (# of shares of Microsoft)
x-25=48 (# of shares of IBM)
Cheers,
Stan H.

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