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 ------------------------------------------------- 100 pounds total \$335.00 Selling 100 pounds at \$3.35 a pound = \$335.00