Question

For a recent year, the number of men in the U.S Senate totaled 4 more than five times the number of woman. Find the number of men and the number of women in the U.S Senate which has a total of 100 members

Answer 1

Answer:

There are 84 men and 16 women in the U.S Senate.

Step-by-step explanation:

We are given the following in the question:

Let x be the number of males and y be the number of females.

Total members = 100

Thus, we can write the equation:

$x + y = 100$

Men in the U.S Senate totaled 4 more than five times the number of woman.

Thus, we can write the equation:

$x = 4 + 5y$

Solving the two equations by substitution method, we have,

$(4+5y) + y = 100\\\Rightarrow 4 + 6y = 100\\\Rightarrow 6y = 96\\\Rightarrow y = 16\\\Rightarrow x = 4 + 5(16) = 84$

Thus, there are 84 men and 16 women in the U.S Senate.