Chapter 6, Problem 34SGR

To determine

To calculate:Tofind the tax on a house assessed at $\$135000$ at the same rate

Answer to Problem 34SGR

Thetax on a house assessed at $\$135000$ is $\$2025$

Explanation of Solution

Given information:A homeowner whose house is assessed for $\$120000$ pays $\$1800$ in taxes

Calculation:

Given that a homeowner whose house is assessed for $\$120000$ pays $\$1800$ in taxes

Let the tax on a house assesses at $\$135000$ be $x$

Also, the rate at which house is assessed is same.

Thus, proportion is as follows:

  $\frac{120000}{1800}=\frac{135000}{x}$

On solving the above proportion,

  $\begin{array}{l}120000\times x=135000\times 1800\\ x=\frac{135000\times 1800}{120000}\\ x=\frac{1350\times 18}{12}\\ x=\frac{1350\times 3}{2}\\ x=\frac{675\times 3}{1}\\ x=2025\end{array}$

Hence, the tax on a house assessed at $\$135000$ is $\$2025$