document.write( "Question 1184564: Nathan had some money.
\n" ); document.write( " He spent 1/8 of it on a T-shirt and 3/4 of the
\n" ); document.write( " remainder on a pair of shoes.
\n" ); document.write( " After that, his parents gave him $715.
\n" ); document.write( " The ratio of the total amount of money he had
\n" ); document.write( " left at the end to the amount of money he
\n" ); document.write( " had at first was 9:4. How much did Nathan
\n" ); document.write( " have at first?
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Algebra.Com's Answer #815207 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "Nathan had some money. He spent 1/8 of it on a T-shirt and 3/4 of the remainder on a pair of shoes. After that, his parents gave him $715. The ratio of the total amount of money he had left at the end to the amount of money he had at first was 9:4. How much did Nathan have at first?
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Let amount he started with be A
\n" ); document.write( "After spending \"1%2F8\", he was left with \"matrix%281%2C5%2C+7%2F8%2C+of%2C+A%2C+%22=%22%2C+7A%2F8%29\"
\n" ); document.write( "After spending \"3%2F4\" of remainder on shoes, he had \"matrix%281%2C5%2C+1%2F4%2C+of%2C+7A%2F8%2C+%22=%22%2C+7A%2F32%29\" remaining
\n" ); document.write( "After receiving $715 from his parents, he then had: \"7A%2F32+%2B+715\"
\n" ); document.write( "With \"matrix%281%2C3%2C+Remainder%2Fmatrix%281%2C2%2C+Initial%2C+amount%29%2C+%22=%22%2C+9%2F4%29\", we finally have:
\n" ); document.write( "7A + 8(2,860) = 72A ------ Multiplying by LCD, 8
\n" ); document.write( " 8(2,860) = 72A - 7A
\n" ); document.write( " 8(2,860) = 65A
\n" ); document.write( "
\n" ); document.write( "Initial amount he had: $352 \n" ); document.write( "
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