SOLUTION: keil is going to mke 10 pounds of mixed nuts for a party. If Keil can spend $47.50 on nuts and peanuts cost $2.00 per pound and fancey nuts cost 7.50 per pound, how many pounds of
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Question 525282: keil is going to mke 10 pounds of mixed nuts for a party. If Keil can spend $47.50 on nuts and peanuts cost $2.00 per pound and fancey nuts cost 7.50 per pound, how many pounds of each should he buy? Answer by oberobic(2304) (Show Source):
You can put this solution on YOUR website! p = lb of peanuts
200p = cost of peanuts in cents
f = lb of fancy nuts
750f = cost of fancy nuts in cents
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4750 cents is the budget
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200p + 750f = 4750
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p + f = 10
so
p = 10-f
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Substitute
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200(10-f) + 750f = 4750
2000 -200f +750f = 4750
550f = 2750
f = 5
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p = 10-f
p = 10-5
p = 5
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Check the budget.
200p = 200*5 = 1000
750f = 750*5 = 3750
1000 + 3750 = 4750
Correct.
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Answer: 5 lb of peanuts and 5 lb of fancy nuts will make 10 lb of mix at a cost of $47.50.
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Done.
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