document.write( "Question 143199: In Luigi's grocery store, a fresh case of oranges was brought in. Soon after, a man entered the store and bought half the case plus three oranges. Then a woman entered the store and bought half of the remaining oranges plus three oranges. An old lady then bought half of the remaining oranges plus three oranges. A young man then bought half the remaining oranges plus three oranges. Finally, a boy entered the store and bought the last orange. How many oranges were there originally? \n" ); document.write( "
Algebra.Com's Answer #104185 by solver91311(24713)\"\" \"About 
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Number of oranges to start: \"x\"\r
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\n" ); document.write( "\n" ); document.write( "What was left after the man: \"%28x%2F2%29-3\"\r
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\n" ); document.write( "\n" ); document.write( "What was left after the woman: \"%28%28%28x%2F2%29-3%29%2F2%29-3\"\r
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\n" ); document.write( "\n" ); document.write( "What was left after the old lady: \"%28%28%28%28%28x%2F2%29-3%29%2F2%29-3%29%2F2%29-3\"\r
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\n" ); document.write( "\n" ); document.write( "What was left after the young man: \"%28%28%28%28%28%28%28x%2F2%29-3%29%2F2%29-3%29%2F2%29-3%29%2F2%29-3\"\r
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\n" ); document.write( "\n" ); document.write( "The boy only had 1 orange to buy, so what was left after the young man must have been 1, therefore:\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28%28%28%28%28%28x%2F2%29-3%29%2F2%29-3%29%2F2%29-3%29%2F2%29-3=1\"\r
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\n" ); document.write( "\n" ); document.write( "Add 3 to both sides and then multiply by 2:\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28%28%28%28%28x%2F2%29-3%29%2F2%29-3%29%2F2%29-3%29=8\"\r
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\n" ); document.write( "\n" ); document.write( "Repeat:\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28%28%28x%2F2%29-3%29%2F2%29-3%29=22\"\r
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\n" ); document.write( "\n" ); document.write( "Repeat:\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28x%2F2%29-3%29=50\"\r
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\n" ); document.write( "\n" ); document.write( "And one more time...with feelin'\r
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\n" ); document.write( "\n" ); document.write( "\"x=106\"\r
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\n" ); document.write( "\n" ); document.write( "Check the answer
\n" ); document.write( "Start: 106
\n" ); document.write( "Man, half is 53, plus 3 is 56, leaving 50
\n" ); document.write( "Woman, half is 25, plus 3 is 28, leaving 22
\n" ); document.write( "Old Lady, half is 11, plus 3 is 14, leaving 8
\n" ); document.write( "Young Man, half is 4 plus 3 is 7, leaving 1 for the Boy. Checks.
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