Is how you would solve this.
~ Hope this helps :)
Alright, let's cross-multiply both sides.
(x-2) will multiply with (x+12)
(x+4) will multiply with (x+2)
FOIL each, making them:
x^2+10x-24 = x^2+6x+8
Bring all x-values to one side:
x^2+10x-24=x^2+6x+8
-x^2 -6x -x^2 -6x
4x-24=8
+24 +24
4x=32
/4
x=8
The correct answer is 370. A system of equations can be
used, where h represents the number
of calories in a hamburger and f represents
the number of calories in an order of fries. The equation <span> 2</span> h plus 3 f equals 1,700 represents the
fact that 2 hamburgers and 3 orders of fries contain a total of 1700 calories,
and the equation h<span> equals f
plus 50</span> represents the fact that one hamburger contains 50 more
calories than an order of fries. Substituting f plus 50 for h in
2 h plus 3 f equals 1,700 gives <span>2, parenthesis, f plus
50, close parenthesis, plus 3</span> f, equals 1,700. This equation
can be solved as follows:
2 f plus 100 plus 3 f equals 1,700
5 f plus 100 equals 1,700
5 f equals 1,600
f equals 320
<span>The
number of calories in an order of fries is 320, so the number of calories in a
hamburger is 50 more than 320, or 370.</span>
