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 #794623 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "You have received, to this point, three algebraic solutions to the problem, showing a variety of different levels of complexity -- emphasizing, as noted in the solution from tutor @ikleyn, that the way you set up the problem can make a big difference in the amount of work required to solve it.

\n" ); document.write( "It is probable that a formal algebraic solution was wanted for this problem. But note that an informal solution using logical reasoning will give you some good brain exercise; and it will get you to the answer with relatively little effort.

\n" ); document.write( "When the number of children is reduced by 5, the amount of money each one gets is doubled, from $20 to $40.

\n" ); document.write( "That means when the number of children is reduced by 5, the number of children is cut in half.

\n" ); document.write( "That means the original number of children was 10 and the reduced number of children was 5.

\n" ); document.write( "And that means the amount of money was 10 times $20, which is $200; or, alternatively, it was 5 times $40, which of course is also $200.

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