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?

i have:
Basic = $14,685
B+T+L= $14,685 + T + L = $16070
B+A+L= $14,685 + A + L = $15,580
B+A+T = $14,685 +A+T = $15,925

What is the next step?
<pre>Using your equations:
14,685 + T + L = 16,070_____T + L = 16,070 - 14,685_____T + L = 1,385 ----- eq (i)
14,685 + A + L = 15,580_____A + L = 15,580 - 14,685_____A + L =   895 ----- eq (ii)
14,685 + A + T = 15,925_____A + T = 15,925 - 14,685_____A + T = 1,240 ----- eq (iii)
Subtract eq (i) from eq (ii) to get:....................A - T = - 490 ----- eq (iv)
Add eqs (iv) & (iii) to get:...........................2A = 750
A, or cost of automatic transmission = {{{highlight_green(matrix(1,3, 750/2, "=", "$375"))}}}
I'm sure you'll be able to find the other costs.