Grandma bun distribution

Grandma baked buns, which she wanted to divide fairly among her grandchildren. If she gave everyone 5 buns, she would have 2 buns left. If she gave each grandchild 6 buns, she would be missing 3 buns. How many grandchildren does grandma have? How many buns did she bake?

Final Answer:

n =  5
b =  27

Step-by-step explanation:

$$\begin{gathered} 5n+2=6n-3 \\ 5\cdot n+2=6\cdot n-3 \\ n=5 \end{gathered}$$

$b=5\cdot n+2=5\cdot 5+2=27$

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