document.write( "Question 262870: The owner of a store wants to make a 30-pound mixture of two candies to sell for $3 per pound. If one candy sells for $2.95 per pound and the other for $3.10 per pound, how many pounds of each should be used? \n" ); document.write( "
Algebra.Com's Answer #193641 by palanisamy(496)![]() ![]() ![]() You can put this solution on YOUR website! Let x pounds of candy A be mixed with y pounds of candy B. \n" ); document.write( "Then, total x+y = 30 ...(1) \n" ); document.write( "Next, candy A sells for $2.95 per pound and the other B for $3.10 per pound, \n" ); document.write( "He wants to sell 30-pound mixture of two candies for $3 per pound. \n" ); document.write( "So, 2.95x+3.10y = 30*3 \n" ); document.write( " 2.95x+3.10y = 90 ...(2) \n" ); document.write( "(1)*2.95 => 2.95x+2.95y = 30*2.95 = 88.5 ...(3) \n" ); document.write( "(2)-(3) => 3.10y-2.95y = 90-88.5 \n" ); document.write( " 0.15y = 1.5 \n" ); document.write( " y = 1.5/0.15 \n" ); document.write( " y = 10 \n" ); document.write( "(1)=> x+10=30 \n" ); document.write( " x = 30-10 = 20 \n" ); document.write( " |