document.write( "Question 237222: your company produces two models of bikes Model A and Model B Model A takes 2 hours to assemble and Model B takes 3 hours to assemble. Model A cost $25 to make each bike where Model B costs $30 to make per bike. If your company has 34 hours and $350 per day for these two bikes, how many of each can be made in a day? Solve equation using substitution or elimination. Explain how to check your solution for both equations.\r
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Algebra.Com's Answer #174492 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! your company produces two models of bikes Model A and Model B Model A takes 2 hours to assemble and Model B takes 3 hours to assemble. Model A cost $25 to make each bike where Model B costs $30 to make per bike. If your company has 34 hours and $350 per day for these two bikes, how many of each can be made in a day? Solve equation using substitution or elimination. Explain how to check your solution for both equations. \n" ); document.write( ": \n" ); document.write( "Let a = no. of Model A bikes \n" ); document.write( "Let b = no. of B Model \n" ); document.write( ": \n" ); document.write( "The hrs constraint \n" ); document.write( "2a + 3b = 34 \n" ); document.write( ": \n" ); document.write( "the cost constraint \n" ); document.write( "25a + 30b = 350 \n" ); document.write( ": \n" ); document.write( "Multiply the 1st equation by 10, subtract from the above equation \n" ); document.write( "25a + 30b = 350 \n" ); document.write( "20a + 30b = 340 \n" ); document.write( "------------------subtraction eliminates b, find a \n" ); document.write( "5a = 10 \n" ); document.write( "a = 2 Model A bikes \n" ); document.write( "then using the 1st equation \n" ); document.write( "2(2) + 3b = 34 \n" ); document.write( "4 + 3b = 34 \n" ); document.write( "3b = 34 - 4 \n" ); document.write( "3b = 30 \n" ); document.write( "b = 10 model B bikes \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check in the cost equation \n" ); document.write( "25(2) + 30(10) = 350 \n" ); document.write( " \n" ); document.write( " |