document.write( "Question 1090357: Frank bought supplies for school. In the first store, he spent half of his money plus $10. In the second store, he spent half of what he had left, plus $10. In the third store, he spent 80% of what he had left. He came home with $5. How much did he start out with? \n" ); document.write( "
Algebra.Com's Answer #704796 by ankor@dixie-net.com(22740)\"\" \"About 
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Frank bought supplies for school. In the first store, he spent half of his money plus $10.
\n" ); document.write( " In the second store, he spent half of what he had left, plus $10.
\n" ); document.write( " In the third store, he spent 80% of what he had left.
\n" ); document.write( " He came home with $5. How much did he start out with?
\n" ); document.write( ":
\n" ); document.write( "let x = initial amt
\n" ); document.write( "\"In the first store, he spent half of his money plus $10.\"
\n" ); document.write( "x - (.5x + 10) = .5x - 10, amt left after first store
\n" ); document.write( ":
\n" ); document.write( "\"In the second store, he spent half of what he had left, plus $10.\"
\n" ); document.write( "(.5x-10) - (.5(.5x-10) + 10)
\n" ); document.write( ".5x - 10 - (.25x + 5 + 10)
\n" ); document.write( ".5x - 10 - .25x - 5 - 10 = .25x - 15 amt left after the 2nd store
\n" ); document.write( ":
\n" ); document.write( " In the third store, he spent 80% of what he had left. He came home with $5.
\n" ); document.write( "(.25x - 15) - (.8(.25x-15) = 5
\n" ); document.write( ".25x - 15 - (.2x - 12) = 5
\n" ); document.write( ".25x - 15 - .2x + 12 = 5
\n" ); document.write( ".05x - 3 = 5
\n" ); document.write( ".05x = 5 + 3
\n" ); document.write( "x = 8/.05
\n" ); document.write( "x = 160 is the initial amt
\n" ); document.write( ":
\n" ); document.write( "How much did he start out with? $160
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\n" ); document.write( "Check this out
\n" ); document.write( "1. 160 - (80+10) = $70
\n" ); document.write( "2. 70 - (35+10) = $25
\n" ); document.write( "3. 25 - .8(25) = 25 - 20 = 5
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