Question

65 people showed up to the party. There were 7 less men than women present. How many women were there?

Answer 1

Let x be women and y men.

x + y = 65 equation 1.

y = x - 7 equation 2.

Now we need to solve the equation system, as follows:

- on eq. 2 y is already solved, so we can replace y on eq. 1:

x + x - 7 = 65

2x - 7 = 65

2x = 65 + 7

2x = 72

x = 72/2

x = 36 women

Finally, we replace x on eq 2:

y = 36 - 7

y = 29 men