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.
<em>Check:
</em>
(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
