document.write( "Question 357225: At a school supply store, a saleswoman sold 32 notebookes on Monday, some for $1.50 each and the rest for $2.00 each. If her notebook receipts that day totaled $51.00, how many of each type of notebook did she sell? \n" ); document.write( "
Algebra.Com's Answer #255131 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! At a school supply store, a saleswoman sold 32 notebookes on Monday, some for $1.50 each and the rest for $2.00 each. If her notebook receipts that day totaled $51.00, how many of each type of notebook did she sell? \n" ); document.write( "--------- \n" ); document.write( "Quantity Eq:::: a + b = 32 \n" ); document.write( "Value equation:1.5a+2b = 51 dollars \n" ); document.write( "------------------------------------ \n" ); document.write( "Multiply thru the 1st equation by 20 \n" ); document.write( "Multiply thru the 2nd equation by 10 \n" ); document.write( "-------- \n" ); document.write( "20a + 20b = 20*32 \n" ); document.write( "15a + 20b = 10*51 \n" ); document.write( "------------------------------ \n" ); document.write( "Subtract and solve for \"a\": \n" ); document.write( "5a = 130 \n" ); document.write( "a = 26 (# of $1.50 notebooks sold) \n" ); document.write( "--- \n" ); document.write( "Since a+b=32, b = 6 (# of $2 notebooks sold) \n" ); document.write( "------------------ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------------ \n" ); document.write( " |