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

M + F = 5500 (1) (This is the total population of the village)

After the increase, the population becomes 6330. The number of males increased by 11% and the number of females increased by 20%. This gives us a second equation:

1.11M + 1.2F = 6330 (2) (This is the new total population after the increase)

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 = 5500 - F (3)

Now we can substitute equation (3) into equation (2):

1.11*(5500 - F) + 1.2F = 6330
6055 - 1.11F + 1.2F = 6330
0.09F = 275
F = 275 / 0.09
F = 3055.56

Since the population must be a whole number, we round it to the nearest whole number, so the number of females in the village is approximately 3056.

Question

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

M + F = 5500 (1) (This is the total population of the village)

After the increase, the population becomes 6330. The number of males increased by 11% and the number of females increased by 20%. This gives us a second equation:

1.11M + 1.2F = 6330 (2) (This is the new total population after the increase)

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 = 5500 - F (3)

Now we can substitute equation (3) into equation (2):

1.11*(5500 - F) + 1.2F = 6330
6055 - 1.11F + 1.2F = 6330
0.09F = 275
F = 275 / 0.09
F = 3055.56

Since the population must be a whole number, we round it to the nearest whole number, so the number of females in the village is approximately 3056.

Knowee AI · Accepted Answer

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

M + F = 5500 (1) (This is the total population of the village)

After the increase, the population becomes 6330. The number of males increased by 11% and the number of females increased by 20%. This gives us a second equation:

1.11M + 1.2F = 6330 (2) (This is the new total population after the increase)

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 = 5500 - F (3)

Now we can substitute equation (3) into equation (2):

1.11*(5500 - F) + 1.2F = 6330
6055 - 1.11F + 1.2F = 6330
0.09F = 275
F = 275 / 0.09
F = 3055.56

Since the population must be a whole number, we round it to the nearest whole number, so the number of females in the village is approximately 3056.

The population of a village is 5500. If the number of males increase by 11% and the number of females increases by 20 %, then the population becomes 6330. Find the population of females in the town

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