document.write( "Question 825604: delila has $1200 in a savings accountant and in a checking account. the ratio of money in savings to money in checking is 3 to 2. use a system of equations to find how much money is in each account.
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Algebra.Com's Answer #497506 by math-vortex(648) $\"\"$ $\"About$

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document.write( "Hi, there--\r\n" );
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document.write( "THE PROBLEM:\r\n" );
document.write( "Delilah has a total of $1200 in a savings account and in a checking account. The ratio of \r\n" );
document.write( "money in savings to money in checking is 3 to 2. Use a system of equations to find how \r\n" );
document.write( "much money is in each account. \r\n" );
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document.write( "A SOLUTION:\r\n" );
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document.write( "Define two variables.\r\n" );
document.write( "Let c be the amount of money in Delilah's checking account (in dollars)\r\n" );
document.write( "Let s be the amount of money in Delilah's savings account (in dollars)\r\n" );
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document.write( "Write two equations modeling the situation.\r\n" );
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document.write( "\"Delilah has a total of $1200 in a savings account and in a checking account\" translates to\r\n" );
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document.write( "\"The ratio of money in savings to money in checking is 3 to 2.\"\r\n" );
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document.write( "Now solve the system of equations for c and s.\r\n" );
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document.write( "Rearrange the first equation to \"c=\" form.\r\n" );
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document.write( "Substitute 1200-s for c in the second equation.\r\n" );
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document.write( "Solve for s.\r\n" );
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document.write( "In the context of this problem, s=720 means Delilah has $720 in her savings account. This \r\n" );
document.write( "implies that she has $480 (1200-720=480) in her checking account.\r\n" );
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document.write( "We want to check that this ratio of money in savings to money is checking is indeed 3 to 2.\r\n" );
document.write( "We scale down by a factor of 240. \r\n" );
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document.write( "CHECK!\r\n" );
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document.write( "Hope this helps!\r\n" );
document.write( "Mrs. Figgy\r\n" );
document.write( "math.in.the.vortex@gmail.com\r\n" );
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