A grocer wants to make a 10-pound mixture of cashews and peanuts that he can sell for $3.29 per pound. If cashews cost $5.60 per pound and peanuts cost $2.30 per pound, how many pounds of each must he mix?

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Mathematics

16 June, 01:47

A grocer wants to make a 10-pound mixture of cashews and peanuts that he can sell for $3.29 per pound. If cashews cost $5.60 per pound and peanuts cost $2.30 per pound, how many pounds of each must he mix?

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Teagan Huffman · Answer 1

We can translate the problem into two equations. The first statement is translated to x + y = 10 where x represents the amount of cashews in the mix while y represents the amount of peanuts in the mixture. In this case, the second equation is translated to 5.60x + 2.30 y = 3.29*10. solving the two equations simultaneously, x is equal to 3 pounds while y is equal to 7 pounds.