Question

In some country's Congress, the number of Representatives is 70 less than five times the number of Senators. There are a total of 530 members.

Find the number of Senators and the number of Representatives.
Complete the list of expressions using x as the variable.
Representatives=
Senators =

Answer 1

Senators = 100

Representatives = 430

Explanation:

there a total of 530 members, which includes both Senators and Representatives. So, we can write the equation:

x + (5x - 70) = 530

Now, ima solve the equation for x to find the number of Senators:

6x - 70 = 530

6x = 600

x = 100

Therefore, the number of Senators is 100.

To find the number of Representatives, substitute the value of x into the expression 5x - 70:

5(100) - 70 = 500 - 70 = 430

So, the number of Representatives is 430.