document.write( "Question 956739: A merchant sells one type of tea for $5.50 per pound and a second type for $4.25 per pound. She wishes to mix the tea to form a 60 lb mixture that will sell for $4.55 per pound. How many pounds of each type of tea should be used in the mixture? \n" ); document.write( "
Algebra.Com's Answer #584530 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A merchant sells one type of tea for $5.50 per pound and a second type for $4.25 per pound. She wishes to mix the tea to form a 60 lb mixture that will sell for $4.55 per pound. How many pounds of each type of tea should be used in the mixture? \n" ); document.write( "-------------------- \n" ); document.write( "Quantity:: a + b = 60 lbs \n" ); document.write( "Value::: 550a+425b = 455*60 \n" ); document.write( "------------------------------- \n" ); document.write( "Modify for elimination: \n" ); document.write( "550a + 550b = 550*60 \n" ); document.write( "550a + 425b = 455*60 \n" ); document.write( "--------- \n" ); document.write( "Subtract and solve for \"b\": \n" ); document.write( "125b = 95*60 \n" ); document.write( "b = (19/25)60 \n" ); document.write( "b = 45.6 lbs (amt. of $4.25 tea needed) \n" ); document.write( "------------ \n" ); document.write( "a = 60-45.6 = 14.4 lbs (amt of $5.50 tea needed) \n" ); document.write( "=============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------ \n" ); document.write( " |