Question

please solve this ..................

Answer 1

Answer:

(d) 800

Step-by-step explanation:

Define x:

Let the number of females be x

The number of males = x + 200

When the males were increased by 25%:

increased = 25% of (x + 200)

increased = 0.25(x + 200)

increased = 0.25x + 50

Males now = (x + 200) + (0.25x + 50)

Males now = 1.25x + 250

When the females were increased by 16.66%:

increased = 16.66% of x

increased = 0.1666x

Females now = x + 0.1666x

Females now = 1.1666x

There are 300 more males than females:

(1.25x + 250) - 1.1666x = 300

1.25x + 250 - 1.1666x = 300

0.0834x + 250 = 300

0.0834x = 50

x = 50 ÷ 0.0834

x = 600 (rounded since the number of people cannot be in decimal)

Find the initial population of males:

males = x + 200

males = 600 + 200 = 800

Answer: (d) 800