this is my algebra homework problem. I don’t understand this problem. PLEASE HELP ME!
The area of Desert A is nine times the area of Desert B. If the sum of their areas is 1,000,000 square miles, find the area of each desert.
This is a system of equations; two equations, two unknows. Translate the words into expressions and, ultimately, to equations.
The area of Desert A is nine times the area of Desert B.
A = 9B (eqn 1)
the sum of their areas is 1,000,000 square miles
A + B = 1,000,000 (eqn 2)
Now, you can use substitution method to solve. If A = 9B, substitute that for A in eqn 2.
9B + B = 1,000,000
Now we have and equation in terms of only one variable instead of two.
10B = 1,000,000
B = 1,000,000/10
B = 100,000 sq mi
Now substitute into eqn 1 to find A
A = 9B = 9*100,000 = 900,000 sq. mi.
Check to make sure the sum of A and B equals the original amount
A + B = 1,000,000
100,000 + 900,000 = 1,000,000
1,000,000 = 1,000,000 (true)