document.write( "Question 738122: A car dealer has 22 vehicles on his lot. If 8 of the vehicles are vans and 6 of the vehicles are red, and 10 vehicles are neither vans nor red, how many red vans does he have on his lot? (venn diagram) \n" ); document.write( "

Algebra.Com's Answer #450685 by josmiceli(19441) $\"\"$ $\"About$

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There are 2 intersecting circles.
\n" ); document.write( "1 circle is all vehicles that are vans
\n" ); document.write( "The 2nd circle is all vehicles that are red
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\n" ); document.write( "10 vehicles are outside these 2 circles, so
\n" ); document.write( "22 minus 10 is 12 vehicles that are inside
\n" ); document.write( "the 2 circles.
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\n" ); document.write( "The vehicles that are in the intersection of the circles
\n" ); document.write( "are counted twice: Once as being a van, and
\n" ); document.write( "again as being red.
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\n" ); document.write( "Instead of 8 plus 6 = 14 vehicles, there are
\n" ); document.write( "22 minus 10 = 12
\n" ); document.write( "So, I can say there are 6 that are vans, but not red ones,
\n" ); document.write( "there are 2 red vans, and there are 4 red vehicles
\n" ); document.write( "that are not vans, and 6 + 2 + 4 = 12, as it should be.
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\n" ); document.write( "So the answer is 2 red vans\r
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