<PRE><B>Question 1168681</B>
let x equal the price of the laptop.
let y = the price of the desktop.
since the desktop costs 200 more than the laptop, you get:
y = x+200
the laptop charges .07 interest rate and the desktop charges .09 interest rate.
the total interest is 306.
your equation is:
.07*x + .09*y = 306
since y = x+200, the equation becomes:
.07*x + .09*(x+200) = 306
simplify to get:
.07*x + .09*x + 18 = 306
subtract 18 from both sides of the equation and simplify to get:
.16*x = 288.
solve for x to get:
x = 288/.16 = 1800.
solve for y to get:
y = x+200 = 2000
.07*1800 + .09*2000 = 306
this confirms the solution is good.
the solution is that the laptop costs 1800 and the desktop costs 2000.


</PRE>