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?

73,920 live in state A and state B.

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

Given:

Number of people of a certain community live in the country = 250,000

let:

Number of people live in state A = x

Number of people live in state B = y

  ............(i)

The number of people of that community in state B is 12,480 more than three times the number in state A

   ..................(ii)

From (i) and (ii)

Peoples.

Put x = 15,360 in (i)

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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

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step-by-step explanation: