Area of a certain state(state1) is five times the area of another state(state2). If the sum of their area is 6,000,000 square miles, find the are of each state
state1
state2
To find the area of each state, we can set up a system of equations using the given information.
Let's assume the area of state1 is x square miles. According to the problem, the area of state2 is five times the area of state1, so the area of state2 is 5x square miles.
The sum of their areas is given as 6,000,000 square miles. Therefore, we can write the equation:
x + 5x = 6,000,000
Combining like terms, we have:
6x = 6,000,000
To solve for x, divide both sides of the equation by 6:
x = 6,000,000 / 6
x = 1,000,000
Now we have the value for x, which is the area of state1. To find the area of state2, we can substitute x into the equation:
Area of state2 = 5x = 5 * 1,000,000 = 5,000,000 square miles
Therefore, the area of state1 is 1,000,000 square miles, and the area of state2 is 5,000,000 square miles.