document.write( "Question 1043635: Mr. Lee brought reading books to his class. If each student takes 5 books. there will be 15 books left. If 5 students do not take a book and the rest of the students take 7 books each, there will be no books left. How many books were brought to the class?
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document.write( " A) 140 B) 125 C) 120 D) 104 \n" );
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Algebra.Com's Answer #658773 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! x books were brought to class. \n" ); document.write( "y=number of students in the class. \n" ); document.write( "x-5y=15 \n" ); document.write( "x-7(y-5)=0. This means that 5 fewer than y students each took 7 books. \n" ); document.write( "Therefore, x=7(y-5) \n" ); document.write( "Substitute into first equation. \n" ); document.write( "7(y-5)-5y=15 \n" ); document.write( "7y-35-5y=15 \n" ); document.write( "2y=50 \n" ); document.write( "y=25 \n" ); document.write( "x-125=15 \n" ); document.write( "x=140 books. A \n" ); document.write( "There are 25 students. \n" ); document.write( "If each student takes 5 books, 125 are taken and 15 are left \n" ); document.write( "If 20 students (5 fewer than 25) take 7 books, none is left. \n" ); document.write( " |