document.write( "Question 1024051: the box of 18 chocolates has a gross mass of 310 grams.\r
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\n" ); document.write( "\n" ); document.write( "that includes the weight of the box and any other packing materials used.\r
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\n" ); document.write( "\n" ); document.write( "when 8 chocolates have been eaten, the box and the remaining chocolates and any other material used in packing them in the box have a combined mass of 210 grams.\r
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\n" ); document.write( "\n" ); document.write( "the difference in the mass of the box and the chocolates is 310 - 210 = 100 grams.\r
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Algebra.Com's Answer #639527 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
18 chocolates and their box have a mass of 310 grams.
\n" ); document.write( "8 chocolates are removed.
\n" ); document.write( "the box and the remaining chocolates now weighs 210 grams.
\n" ); document.write( "100 grams has been removed by 8 chocolates.
\n" ); document.write( "this means that each chocolate must weigh 100 / 8 = 12.5 grams.\r
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\n" ); document.write( "\n" ); document.write( "that should be your answer.\r
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\n" ); document.write( "\n" ); document.write( "you can figure out the mass of the box by multiplying 12.5 * 18 to get a total mass of the 18 chocolates at 225 grams.\r
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\n" ); document.write( "\n" ); document.write( "310 - 225 = 85 grams.\r
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\n" ); document.write( "\n" ); document.write( "the box must weigh 85 grams when it's empty.\r
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\n" ); document.write( "\n" ); document.write( "you can make an equation out of this.\r
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\n" ); document.write( "\n" ); document.write( "the equation is y = 85 + 12.5x.\r
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\n" ); document.write( "\n" ); document.write( "x represents the number of chocolates added to the box.\r
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\n" ); document.write( "\n" ); document.write( "when x is 0, the box weighs 85 grams.
\n" ); document.write( "when x is 10, the box weighs 85 + 125 = 210 grams.
\n" ); document.write( "when x is 18, the box weighs 85 + 225 = 310 grams.\r
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\n" ); document.write( "\n" ); document.write( "this confirms that the equation faithfully represents the situation as expressed in the problem statement.\r
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\n" ); document.write( "\n" ); document.write( "an alternative equation assumes the initial weight of the box and the chocolates is 310 and then subtracts 12.5 * the number of chocolates.\r
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\n" ); document.write( "\n" ); document.write( "that equation is y = 310 - 12.5x.\r
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\n" ); document.write( "\n" ); document.write( "x represents the number of chocolates removed from the box.\r
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\n" ); document.write( "\n" ); document.write( "when x is 0, the weight of the box is 310 grams.\r
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\n" ); document.write( "\n" ); document.write( "when x is 8, the weight of the box is 310 - 8 * 12.5 = 210 grams.\r
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\n" ); document.write( "\n" ); document.write( "when x is 18, the weight of the box is 310 - 18 * 12.5 = 85 grams.\r
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\n" ); document.write( "\n" ); document.write( "the solution is confirmed by both equations.\r
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\n" ); document.write( "\n" ); document.write( "each chocolate weighs 12.5 grams.\r
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