Question 33681
let the number of mugs be x
so cost of each mug is 48/x.

cost of mug for selling = 48/x +3.(three more)

total number of mugs sold = x-2.

total profit= 48 + 22 = 70.00

Equation:

{{{(48/x+3) (x-2) = 70}}}

Expand:
{{{48-96/x+3x-6=70}}}
Multply the whole equation by x to remove the fraction adn simplify:
48x-96+3x^2-6x=70x
3x^2-28x-96=0
Factor:
 (x-12)(3x+8)
x=12