Q55. - Algebra 1

Question

The results of a poll are shown. How many votes were cast against both tax levies?

$\begin{array}{l}\text{ For Against}\\ \begin{array}{c}\text{Tax Levy 1}\\ \text{Tax Levy 2}\end{array}\left[\begin{array}{cc}68& 105\\ 69& 71\end{array}\right]\end{array}$

Step-by-Step Solution

Answer

The number of votes that were cast against both tax levies is 176.

Step 1. Write the number of votes that were cast against Tax levy 1 and Tax levy 2.

The given matrix is:

$\begin{array}{c}\text{ For Against}\\ \begin{array}{c}\text{Tax Levy 1}\\ \text{Tax Levy 2}\end{array}\left[\begin{array}{cc}68& 105\\ 69& 71\end{array}\right]\end{array}$

From the given matrix, it can be noticed that the number of votes that were cast against the Tax levy 1 is 105 and the number of votes that were cast against the Tax levy 2 is 71.

Step 2. Write the number of votes that were cast against both Tax levy 1 and Tax levy 2 .

The number of votes that were cast against both tax levies is:

$$\begin{gathered} \text{number of votes that were cast against Tax levy 1 }+\text{number of votes that were cast against Tax levy 2}=105+71 \\ =176 \end{gathered}$$

Therefore, the number of votes that were cast against both tax levies is 176.