document.write( "Question 168555: An office manager is purchasing file cabinets and wants to maximize storage space. The office has 60 square feet of floor space for the cabinets and $600 in the budget to purchase them. Cabinet A requires 3 square feet of floor space, has a storage capacity of 12 cubic feet, and costs $75. Cabinet B requires 6 square feet of floor space, has a storage capacity of 18 cubic feet, and costs $50. How many of each cabinet should the office manager buy? Solve using the substitution method. \n" ); document.write( "
Algebra.Com's Answer #124220 by Mathtut(3670)![]() ![]() ![]() You can put this solution on YOUR website! 75A+50B=600 \n" ); document.write( "3A+ 6B=60------>where A is the number of A cabs and B is the number of B cabs \n" ); document.write( ": \n" ); document.write( "solve for A in the 2nd equation and plug in that value to 1st equation: \n" ); document.write( ": \n" ); document.write( "3A=60-6B--->A=20-2B \n" ); document.write( ": \n" ); document.write( "75(20-2B)+50B=600\r \n" ); document.write( "\n" ); document.write( "1500-150B+50B=600\r \n" ); document.write( "\n" ); document.write( "-100B=-900\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "3A+6(9)=60--->3A=6 \n" ); document.write( " |