Q15. - Algebra 1

Question

There are 120 members in the North Caroline House of Representatives. This is 70 more than the number of members in the North Caroline Senate. How many members are in the North Caroline Senate?

Step-by-Step Solution

Answer

There are 50 members in the North Caroline Senate.

Step 1. State the rules of Addition/Subtraction.

(1). Two numbers with similar sign always get added and the resulting number will carry the similar sign.

 

(2). Two numbers with opposite signs always get subtracted and the resulting number will carry the sign of larger number.

Step 2. Write the formula to find the members in the North Caroline Senate.

There are 120 members in the North Caroline House (NCH) of Representative.

 

This is 70 more than the number of members in the North Caroline Senate (NCS).

 

Therefore, the number of members in the North Caroline Senate is given as follows:

 

Number of members in NCS $=$ Number of members in the NCH $-70$

Step 3. Calculate the members in the North Caroline Senate.

The number of members in the North Caroline Senate is calculated as follows.

 

Number of members in NCS $=$ Number of members in the NCH $-70$

                                                $$\begin{gathered} =120-70 \\ =50 \end{gathered}$$                                              

 

Therefore there are 50 members in North Caroline Senate.