document.write( "Question 1205542: Alana and Petra go to a used book sale, where every book is the same price. Alana buys 4 books and Petra buys 2 books. They run into their friend Angus, who really loves to read, and discover that he has bought 16 books. Angus received a $15 discount, but he still spent $5 more than alana and petra combined. How much does one book cost? \n" ); document.write( "
Algebra.Com's Answer #842417 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Let x be the cost in dollars of each book. \n" ); document.write( "Alana bought 4 books, costing a total of 4x dollars; Petra bought 2, costing 2x dollars. Together they spent 4x+2x = 6x dollars. \n" ); document.write( "Angus bought 16 books, costing a total of 32x dollars, but got a $15 discount, so the total he paid was 32x-15 dollars. \n" ); document.write( "The amount Angus spent was $5 more than Alana and Petra together: \n" ); document.write( "16x-15 = 6x+5 \n" ); document.write( "10x = 20 \n" ); document.write( "x = 2 \n" ); document.write( "ANSWER: the cost of each book was $2 \n" ); document.write( " \n" ); document.write( " |