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A grocer wants to make a 10-pound mixture of peanuts and cashews that he can sell for $ 4,75 per pound. If peanuts cost $4.00 per pound and cashews $6.50 per pound. How many pounds of each should use?Let p = pounds of peanuts Let c = pounds of cashewsWrite a system of equations that could be used to solve the problem |
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Answer» Given : A grocer wants to MAKE a 10-pound mixture of peanuts and cashews that he can sell for $ 4,75 per pound. If peanuts cost $4.00 per pound and cashews $6.50 per pound. To find : How MANY pounds of each should use Solution: Let p = pounds of peanuts peanuts cost $4.00 per pound => Cost of p pounds of peanuts = 4P $ Let c = pounds of cashews cashews cost $6.50 per pound. => Cost of c pounds of peanuts = 6.5C $ Total Cost = 4P + 6.5C $ 10 Pound Mixture Cost = 10 * 4.75 = 47.5 $ => 4P + 6.5C = 47.5 P + C = 10 => 4P + 4C = 40 => 2.5C = 7.5 => C = 3 & P = 7 3 pounds cashew & 7 pounds of Peanuts Learn more: 21. A mixture "M1" of Mix Juice, Orange Juice and Pineapple Juice ... if a mixture contain SUGAR,oil and cheese in ratio 5:3:1 and you have ... |
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