Sandy is upgrading her Internet service. Fast Internet charges $60 for installation and $50.45 per month. Quick Internet has free installation but charges $57.95 per month. 

a. Write an equation that can be used to find the number of months at which the Internet service would cost the same.

b. Solve the equation.

\(\begin{align}
\frac{3}{4}\text{n} - 18 = \frac{1}{4}\text{n} - 4 \\
\end{align}
\)

\(\begin{align}
6 + \frac{4}{5}\text{b} = \frac{9}{10}\text{b} \\
\end{align}
\)

\(\begin{align}
\frac{2}{11}\text{m} + 16 = 4 + \frac{6}{11}\text{m} \\
\end{align}
\)

\(2.25\text{t} + 5 = 13.5\text{t} + 14\)

\(3.6\text{w} = 1.6\text{w} + 24\)

\(-0.75\text{p} - 2 = 0.25\text{p}\)

Write a real-world problem that can be modeled by the equation \(1.25\text{x} = 0.75\text{x} + 50\).

How does the method for solving equations with fractional or decimal coefficients and constants compare with the method for solving equations with integer coefficients and constants?