document.write( "Question 909514: Tyler has two savings accounts that his grandparents opened for him. The two accounts pay 10% and 12% in annual interest; there is $700 more in the account that pays 12% than there is in the other account. If the total interest for a year is $260, how much money does he have in each account? \n" ); document.write( "
Algebra.Com's Answer #551885 by richwmiller(17219)\"\" \"About 
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We don't know the total invested.
\n" ); document.write( "We know the difference in the two accounts.
\n" ); document.write( "We know that the interest for the two accounts is $260
\n" ); document.write( "0.12*x+0.1*y=260
\n" ); document.write( "We know that the account at 12% has $700 more.
\n" ); document.write( "x=700+y
\n" ); document.write( "We substitute for x
\n" ); document.write( "0.12*(700+y)+0.1*y=260
\n" ); document.write( "We multiply out
\n" ); document.write( "84+0.12y+0.1*y=260
\n" ); document.write( "We combine like terms.
\n" ); document.write( "0.22*y=176
\n" ); document.write( "Isolate y
\n" ); document.write( "y=$800 at 10%
\n" ); document.write( "x=700+y
\n" ); document.write( "Calculate x
\n" ); document.write( "x=$1500 at 12%
\n" ); document.write( "Now,we know the total invested is: 2300
\n" ); document.write( "Total invested $1500+$800=$2300
\n" ); document.write( "We check
\n" ); document.write( "0.12*1500+0.1*800=260
\n" ); document.write( "180+80=260
\n" ); document.write( "260=260
\n" ); document.write( "Since this statement is TRUE and neither x nor y is negative all is well.
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