The area of a certain state (state 1) is four times the area of another state (State 2). If the sum of their areas is 25,000,000 square miles find the area of each state?
a + 4a = 25,000,000
5a = 25,000,000
Solve for a, the area of State 2.
Let's solve this problem step by step.
Step 1: Let's represent the area of State 1 as "x" square miles.
Step 2: According to the problem, the area of State 1 is four times the area of State 2. So, the area of State 2 would be "x/4" square miles.
Step 3: The sum of their areas is given as 25,000,000 square miles. Therefore, we can write the equation:
x + x/4 = 25,000,000
To solve this equation, we need to combine like terms. Multiply the entire equation by 4 to eliminate the fraction:
4x + x = 100,000,000
Combine like terms:
5x = 100,000,000
Step 4: To isolate x, we can divide both sides of the equation by 5:
x = 100,000,000 / 5
x = 20,000,000
So, the area of State 1 is 20,000,000 square miles.
Step 5: To find the area of State 2, substitute the value of x into the equation:
Area of State 2 = x/4 = 20,000,000 / 4 = 5,000,000 square miles
Therefore, the area of State 2 is 5,000,000 square miles.
In conclusion, the area of State 1 is 20,000,000 square miles and the area of State 2 is 5,000,000 square miles.