About 250,000 people of a certain community live in the country. Of that number, 73,920 live in state A and state B. The number of people of that community in state B is 12,480 more than three times the number in state A How many people of that community live in each state?

15 360 people in State A and 58 560 in State B

Step-by-step explanation:

We have two conditions:

(1) A + B = 73 920

(2) B = 3A + 12 480

Solve the system of equations. Substitute (2) into (1).

A + 3A + 12 480 = 73 920 Subtract 12 480 from each side

4A = 61 440

(3) A = 15 360 Substitute (3) into (2)

B = 3*15 360 + 12 480

= 46 080 + 12 480

= 58 560

There are 15 360 people in State A and 58 560 in State B.

Check:

(1) 15 360 + 58 560 = 73 920 (2) 58 560 = 3*15 360 + 12 480

73 920 = 73 920 58 560 = 46 080 + 12 480

58 560 = 58 560