document.write( "Question 1169761: Some children share an amount of money equally and each of them gets $20. If the number of children sharing the same amount of money is reduced by 5, each child will get $40. Find the amount of money. \n" ); document.write( "
Algebra.Com's Answer #794579 by MathTherapy(10552)\"\" \"About 
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Some children share an amount of money equally and each of them gets $20. If the number of children sharing the same amount of money is reduced by 5, each child will get $40. Find the amount of money.
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Let amount of money be A\r\n" );
document.write( "Then number of children = \"A%2F20+\"\r\n" );
document.write( "Reducing number of children by 5 makes the new number \"A%2F20+-+5\"\r\n" );
document.write( "So, amount each child would get = \"A%2F%28A%2F20+-+5%29\", and so, we get: \"matrix%281%2C3%2C+A%2F%28A%2F20+-+5%29%2C+%22=%22%2C+40%29\"\r\n" );
document.write( "              \r\n" );
document.write( "                                                            \"matrix%281%2C3%2C+A%2F%28%28A+-+100%29%2F20%29%2C+%22=%22%2C+40%29\"                    \r\n" );
document.write( "                                                            \r\n" );
document.write( "                                                            \"matrix%281%2C3%2C+A+%2A+%2820%2F%28A+-+100%29%29%2C+%22=%22%2C+40%29\"
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document.write( "                                                            \"matrix%281%2C3%2C+20A%2F%28A+-+100%29%2C+%22=%22%2C+40%29\"\r\n" );
document.write( "                                                            \r\n" );
document.write( "                                                            \"matrix%281%2C3%2C+A%2F%28A+-+100%29%2C+%22=%22%2C+2%29\" ----- Factoring out LCD, 20, in numerator\r\n" );
document.write( "                                                           \r\n" );
document.write( "                                                            A = 2(A - 100) ---- Cross-multiplying\r\n" );
document.write( "                                                            A = 2A - 200\r\n" );
document.write( "                                                            A - 2A = - 200\r\n" );
document.write( "                                                          - A = - 200 \r\n" );
document.write( "                                       Amount of money, or 
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