document.write( "Question 1203898: Benjamin & Associates, a real estate developer, recently built 210 condominiums in McCall, Idaho. The condos were either two-bedroom units or three-bedroom units. If the total number of bedrooms in the entire complex is 537, how many two-bedroom units are there? How many three-bedroom units are there? \n" ); document.write( "

Algebra.Com's Answer #839794 by math_helper(2461) $\"\"$ $\"About$

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document.write( "Let x = number of 3BR units
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document.write( "Let y = number of 2BR units\r
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document.write( "x + y = 210    (from \"... 210 condominiums ...\")
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document.write( "3x + 2y = 537  (from \"... total number of bedrooms in the entire complex is 537...\")\r
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document.write( "Mulitply the first equation by 2 and subtract that result from the bottom equation:
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document.write( "  3x + 2y = 537
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document.write( "-(2x + 2y = 420)
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document.write( "   x      = 117      -->  y = 210-117 = 93\r
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document.write( "Answer:
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document.write( "There are 117 3BR units and 93 2BR units.\r
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document.write( "Check:
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document.write( "3*117 + 2*93 = 351 + 186 = 537   (total number of BR's checks out)\r
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document.write( "117 + 93 = 210   (total number of units checks out, note we used this to find y)\r
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