Question

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?

Answer 1

Answer:

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