12 because six people came to the party and you shake their hand
There are 12 inches in one foot:
1 ft = 12 in
We want to find how many feet are in 5000 inches:
x ft = 5000 in
Set up a proportion:
1/12 = x/5000
Cross multiply:
12x = 5000
Divide by 12:
x is about 416.67 feet.
If you multiply the first equation by 2, you get the second equation. Consequently, these equations are said to be "depenent", so both describe the same line. Any of the infinite number of points on the line is a solution, so ...
... The system has infinitely many solutions.
In this problem, you have to find the total profit the company made in the three quarters which makes up 3/4 of the whole. In the second quarter, the profit is 4 million. Let x be the profit in the first quarter. Following the description,
4 = (1+1/3)x
x = 3 million
Thus, the second quarter made 5.33 million profit.
For the third quarter, let's assign it to the y variable. Following the description,
4 = (4/5)(y)
y = 5 million
Thus, the total profit is 4 + 3 + 5 = 12 million
