To solve this problem, we need to set up a system of equations.

Let's denote the number of males in the town as M and the number of females as F. We know from the problem that:

M + F = 10,000 (This is the total population of the town)

We also know that the population of males increases by 16.66% and the population of females increases by 37.5%, resulting in a new total population of 12,500. This gives us a second equation:

1.1666M + 1.375F = 12,500

Now we have a system of two equations, and we can solve it step by step.

First, let's express M from the first equation:

M = 10,000 - F

Now we can substitute M in the second equation:

1.1666(10,000 - F) + 1.375F = 12,500

This simplifies to:

11666 - 1.1666F + 1.375F = 12,500

Combine like terms:

0.2084F = 834

Finally, solve for F:

F = 834 / 0.2084 ≈ 4000

So, the number of females in the town is approximately 4000.

Question

To solve this problem, we need to set up a system of equations.

Let's denote the number of males in the town as M and the number of females as F. We know from the problem that:

M + F = 10,000 (This is the total population of the town)

We also know that the population of males increases by 16.66% and the population of females increases by 37.5%, resulting in a new total population of 12,500. This gives us a second equation:

1.1666M + 1.375F = 12,500

Now we have a system of two equations, and we can solve it step by step.

First, let's express M from the first equation:

M = 10,000 - F

Now we can substitute M in the second equation:

1.1666(10,000 - F) + 1.375F = 12,500

This simplifies to:

11666 - 1.1666F + 1.375F = 12,500

Combine like terms:

0.2084F = 834

Finally, solve for F:

F = 834 / 0.2084 ≈ 4000

So, the number of females in the town is approximately 4000.

Knowee AI · Accepted Answer