document.write( "Question 76434: I have tried to solve these type problems and I cannot figure out the steps to solve them, if someone could help me with this one and show me steps on how to solve others like it I would really appreciate it.
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document.write( "Tyler has two savings accounts that his grandparents opened for him. The two accounts pay 10% and 16% in annual interest; there is $500 more in the account that pays 16% than there is in the other account. If the total interest for a year is $288, how much money does he have in each account?
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document.write( "How much was invested at 10%_____ and 16%______
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document.write( "Thank you so very much
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document.write( "Sabrina \n" );
document.write( "
Algebra.Com's Answer #54830 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Tyler has two savings accounts that his grandparents opened for him. The two accounts pay 10% and 16% in annual interest; there is $500 more in the account that pays 16% than there is in the other account. If the total interest for a year is $288, how much money does he have in each account? \n" ); document.write( ": \n" ); document.write( "Let x = amt at 10% \n" ); document.write( ": \n" ); document.write( "The problems states that there is $500 more in the 16% account, therefore: \n" ); document.write( "(x+500) = amt at 16% \n" ); document.write( ": \n" ); document.write( "The problem also states: \n" ); document.write( "10% acc interest + 16% acc interest = $288 \n" ); document.write( ".10x + .16(x+500) = 288 \n" ); document.write( ": \n" ); document.write( "Multiply what's inside the brackets: \n" ); document.write( ".10x + .16x + 80 = 288 \n" ); document.write( ".26x = 288 - 80; subtracted 80 from both sides, added the x's \n" ); document.write( ".26x = 208 \n" ); document.write( "x = 208/.26 \n" ); document.write( "x = $800 invested at 10% \n" ); document.write( ": \n" ); document.write( "800 + 500 = $1300 invested at 16% \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check our solutions: \n" ); document.write( ".10(800) + .16(1300) = \n" ); document.write( "80 + 208 = 288 \n" ); document.write( ": \n" ); document.write( "How about this? Can you do these kind now? \n" ); document.write( " |