document.write( "Question 363856: THE BILL FOR FIVE GLASSES OF APPLE JUICE AND FOUR SALADS IS $9.50,BUT THE BILL FOR FOUR GLASSES OF APPLE JUICE AND FIVE SALADS IS $10.30.WHAT WOULD BE THE BILL FOR A GLASS OF APPLE JUICE AND A SALAD? \n" ); document.write( "
Algebra.Com's Answer #259530 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! THE BILL FOR FIVE GLASSES OF APPLE JUICE AND FOUR SALADS IS $9.50,BUT THE BILL FOR FOUR GLASSES OF APPLE JUICE AND FIVE SALADS IS $10.30.WHAT WOULD BE THE BILL FOR A GLASS OF APPLE JUICE AND A SALAD? \n" ); document.write( "------------------------------ \n" ); document.write( "Equations: \n" ); document.write( "5a + 4s = 9.50 \n" ); document.write( "4a + 5s = 10.30 \n" ); document.write( "---------------------- \n" ); document.write( "Multiply thru 1st by 4. \n" ); document.write( "Multiply thru 2nd by 5. \n" ); document.write( "----- \n" ); document.write( "20a + 16s = 4*9.50 \n" ); document.write( "20a + 25s = 5*10.30 \n" ); document.write( "-------- \n" ); document.write( "Subtract 2nd from 1st and solve for \"s\": \n" ); document.write( "9s = 13.50 \n" ); document.write( "s = $1.50 (price of one salad) \n" ); document.write( "----- \n" ); document.write( "Substitute into 5a+4s = 9.50 to solve for \"a\": \n" ); document.write( "5a + 4*1.5 = 9.50 \n" ); document.write( "5a + 6 = 9.5 \n" ); document.write( "5a = 3.5 \n" ); document.write( "a = 0.70 (price of one apple juice) \n" ); document.write( "============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |