If 20% of a is equal to 80% of b which of the following is equal to a + b?
If 20% of a is equal to 80% of b which of the following is equal to a + b?
Explanation
Let's start by using the information that 20% of a is equal to 80% of b. We can write this as an equation:
0.20a = 0.80b
To simplify, divide both sides by 0.20:
a = 4b
Now, we want to find a + b. We can substitute the expression for a in terms of b:
a + b = 4b + b
Combine like terms:
a + b = 5b
Now, we can express this in terms of a by substituting a = 4b:
a + b = 5(1/4)a
a + b = 1.25a
So, the correct answer is: 1.25a