The Cashews
9) Mr. Riley runs a corner grocery store. He sells whole
cashews for $4 a pound and cashew bits and pieces for $3 a pound.
To offer his customers more of a selection, he was planning on mixing
up a 100-pound combination of both kinds of cashews to sell for
$3.35 a pound. In order for his profit to remain the same, how
many pounds of the $4 cashews, and how many pounds of the $3 bits
and pieces would he need to combine for this?
4.00(x) + 3.00(100-x) = 3.35(100)
"x" = the number of pounds.
Eliminate the decimals by multiplying by 100:
400(x) + 300(100-x) = 335(100)
400x + 30,000 -300x = 33,500
100x + 30,000 = 33,500
100x = 3,500
x = 35
Since "x" equals 35, then that means that 35 pounds of the $4
cachews will be mixed in with 65 (100-35) pounds of the $3 cashew
bits & pieces.
Here's what else we can now figure out to double check
our work:
35 pounds of the $4 cashews............$140.00
65 pounds of the $3 bits & pieces......$195.00
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100 pounds total $335.00
Selling 100 pounds at $3.35 a pound = $335.00