document.write( "Question 1011766: 1.The boys mixed 10 gallons of the 20% pure lemon juice mix and 10 gallons of the 70% pure lemon juice mix, because they wanted 20 gallons of lemonade at a 40% lemon juice mixture. They thought that because 40% was almost halfway between 20% and 70%, they should just mix equal parts of both, but the lemonade turned out too tart. How much of each should they have used to get a final mixture of 20 gallons at 40% lemon juice? Write your answer in complete sentences. Show all work. \n" ); document.write( "
Algebra.Com's Answer #627517 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The boys mixed 10 gallons of the 20% pure lemon juice mix and 10 gallons of the 70% pure lemon juice mix, because they wanted 20 gallons of lemonade at a 40% lemon juice mixture. They thought that because 40% was almost halfway between 20% and 70%, they should just mix equal parts of both, but the lemonade turned out too tart. How much of each should they have used to get a final mixture of 20 gallons at 40% lemon juice? Write your answer in complete sentences. Show all work. \n" ); document.write( "----- \n" ); document.write( "Quantity Equation: t + s = 20 gallons \n" ); document.write( "Lemon content Eq: 20t+70s = 40*20 gallons \n" ); document.write( "--------------------------------------------- \n" ); document.write( "Modify for elimination: \n" ); document.write( "2t + 2s = 2*20 \n" ); document.write( "2t + 7s = 4*20 \n" ); document.write( "------- \n" ); document.write( "Subtract and solve for \"s\": \n" ); document.write( "5s = 2*20 \n" ); document.write( "s = 8 gallons (amt. of 70% mix needed) \n" ); document.write( "t = 20-8 = 12 gallons (amt of 20% mix needed) \n" ); document.write( "----------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------- \n" ); document.write( " |