Question 325496
Let x = number of muffins total



Since "A bakery sold 3/5 of its muffins", this means that it sold {{{(3/5)x}}} muffins. So there are {{{x-(3/5)x=(5/5)x-(3/5)x=(2/5)x}}} muffins left



Because "The remaining muffins were divided equally among the 3 employees", we know that we divide the remaining muffins {{{(2/5)x}}} by 3 to get {{{((2/5)x)/3=(2/5)x*(1/3)=(2/15)x}}}


So each worker gets {{{(2/15)x}}} muffins. But we also know that "Each employee got 16 muffins" so this means that {{{(2/15)x=16}}}



{{{(2/15)x=16}}} Start with the given equation.



{{{2x=16*15}}} Multiply both sides by 15.



{{{2x=240}}} Multiply 16 and 15 to get 240



{{{x=240/2}}} Divide both sides by 2 to isolate x.



{{{x=120}}} Reduce.



So the bakery baked 120 muffins.