SOLUTION: Instructions: Write and graph an inequality that models the situation. Zark is buying peanuts and cashews for apatry. He can spend no more than $24. Peanuts cost $3 per pound

Question 237744: Instructions: Write and graph an inequality that models the situation.
Zark is buying peanuts and cashews for apatry. He can spend no more than $24. Peanuts cost $3 per pound and cashews cost $3 per pound.
Let x = number of pounds of peanuts
Let y = number of pounds of cashews
inequality: ________________
1. Which of the following is a solution of the inequality:
a. (2, 8) b. (4,6) c. (8,2)
2. What is the greatest number of poutnds of peanuts that Zark can buy?
3. If x=6 lb, what are all possible values of y?
I'm in the 8th grade and our teacher didn't explain this, she stated she is not sure either...go figure. Please help Anyone!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Instructions: Write and graph an inequality that models the situation.
Zark is buying peanuts and cashews for a party. He can spend no more than $24. Peanuts cost $3 per pound and cashews cost $3 per pound.
Let x = number of pounds of peanuts
Let y = number of pounds of cashews
inequality: 3x + 3y <= 24 dollars
------------------------------------
1. Which of the following is a solution of the inequality:
a. (2, 8): 3*2+3*9 <= 24 ; 9+27 <= 24 ; Conclusion: NO
b. (4,6): 3*4 + 3*6 <= 24 ; 12 + 18 <= 24 ; Conclusion: No
c. (8,2): 3*8 + 3*2 <= 24 ; 24 + 6 <= 24 ; Conclusion: NO
------------------------------------
2. What is the greatest number of pounds of peanuts that Zark can buy?
3x <= 24 ; x <= 8 ; Comment---He could buy 8 lbs of peanuts and no cashews.
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3. If x=6 lb, what are all possible values of y?
3*6 + 3y <= 24 ; 3y <= 24-18 ; 3y <= 6 ; y <= 2
Comment: y could be 0, 1, or 2.
-----------------
Cheers,
Stan H.
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