document.write( "Question 1134432: How do you set up the equation here? A recent basic model of a particular automobile had a price of $14,685. The basic model with the added features of automatic transmission and power locks was $16,070. The basic model with air conditioning and power locks was $15,580. The basic model with AC and automatic transmission was $15,925. What was the individual cost of each of the three options?\r
\n" ); document.write( "\n" ); document.write( "i have:
\n" ); document.write( "Basic = $14,685
\n" ); document.write( "B+T+L= $14,685 + T + L = $16070
\n" ); document.write( "B+A+L= $14,685 + A + L = $15,580
\n" ); document.write( "B+A+T = $14,685 +A+T = $15,925\r
\n" ); document.write( "\n" ); document.write( "What is the next step?
\n" ); document.write( "

Algebra.Com's Answer #751837 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!
How do you set up the equation here? A recent basic model of a particular automobile had a price of $14,685. The basic model with the added features of automatic transmission and power locks was $16,070. The basic model with air conditioning and power locks was $15,580. The basic model with AC and automatic transmission was $15,925. What was the individual cost of each of the three options?\r
\n" ); document.write( "\n" ); document.write( "i have:
\n" ); document.write( "Basic = $14,685
\n" ); document.write( "B+T+L= $14,685 + T + L = $16070
\n" ); document.write( "B+A+L= $14,685 + A + L = $15,580
\n" ); document.write( "B+A+T = $14,685 +A+T = $15,925\r
\n" ); document.write( "\n" ); document.write( "What is the next step?
\n" ); document.write( "
Using your equations:
\n" ); document.write( "14,685 + T + L = 16,070_____T + L = 16,070 - 14,685_____T + L = 1,385 ----- eq (i)
\n" ); document.write( "14,685 + A + L = 15,580_____A + L = 15,580 - 14,685_____A + L = 895 ----- eq (ii)
\n" ); document.write( "14,685 + A + T = 15,925_____A + T = 15,925 - 14,685_____A + T = 1,240 ----- eq (iii)
\n" ); document.write( "Subtract eq (i) from eq (ii) to get:....................A - T = - 490 ----- eq (iv)
\n" ); document.write( "Add eqs (iv) & (iii) to get:...........................2A = 750
\n" ); document.write( "A, or cost of automatic transmission = \"highlight_green%28matrix%281%2C3%2C+750%2F2%2C+%22=%22%2C+%22%24375%22%29%29\"
\n" ); document.write( "I'm sure you'll be able to find the other costs. \n" ); document.write( "
\n" );