You can
put this solution on YOUR website!Define: Let x = number of mugs bought.
She broke 2, so she sold (x-2) mugs.
Each mug cost to buy 48/x, but she sold them at 3+(48/x) dollars for a total of 48+22 --> $70.
So, (saleprice per mug)x(number of mugs) = income
(3+(48/x))(x-2) = 70
Multiply both sides by x -->
-->
. Collect all terms on left hand side:
This actually factorises to (3x+8)(x-12) = 0 which means that either 3x+8=0 Or x-12=0.
Now, x cannot be -8/3, since x is the number of mugs...-8/3 mugs???, so the answer is she originally bought 12 mugs.
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If you do want to use the quadratic formula:
x =
where
a = 3
b = -28
c = -96
--> x =
--> x =
--> x =
--> x =
so either x =
or x =
x=72/6 or x=-16/6
--> x=12
jon.
