document.write( "Question 1170708: Hi
\n" ); document.write( "Henry spent $380 on clothes and $170 on food and gave 40% of the remainder to Janet. Then he saved the rest of his money. If he saved 30% of his original sum of money, how much did he give janet \n" ); document.write( "
Algebra.Com's Answer #795602 by Theo(13342)\"\" \"About 
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let x = his original sum of money.
\n" ); document.write( "he spent 380 + 170 = 550 on food and clothes.
\n" ); document.write( "that means he had (x - 550) left.
\n" ); document.write( "he gave 40% of this to janet.
\n" ); document.write( "that means he had (x - 550) - .4 * (x - 550) left.
\n" ); document.write( "simplify this to get that he had x - 550 - .4 * x + 220 left.
\n" ); document.write( "combine like terms to get that he had .6 * x - 330 left.
\n" ); document.write( "this was 30% of his original money which means that x = (.6 * x - 330) / .3
\n" ); document.write( "simplify this to get x = 2 * x - 1100
\n" ); document.write( "solve for x to get x = 1100\r
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\n" ); document.write( "\n" ); document.write( "original amount of money that he had was 1100.
\n" ); document.write( "confirm by replacing x in the original equation to get:
\n" ); document.write( "1100 - 550 = 550 left.
\n" ); document.write( "550 - .4 * 550 = 330 left.
\n" ); document.write( "330/.3 = 1100.\r
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\n" ); document.write( "\n" ); document.write( "the numbers are good.
\n" ); document.write( "you are asked how much he gave to janet.
\n" ); document.write( "he gave janet 40% of 550 = 220.
\n" ); document.write( "that's your solution.\r
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