Video Explanation

Text Explanation

Our task is to determine the ratio of Bob's trees to Ann's trees. Let's label these numbers of trees with variables:



With these variables, we can express the ratio we want to determine:




Statement 1:
Ann planted 20 trees more than Bob planted.

Let's translate this into an equation using A and B:



Now we can substitute this into our ratio, replacing A:



No matter what simplifications we make, we cannot find a numerical value for this fraction. We would need a value for B. We cannot determine the ratio. Statement 1 by itself is not sufficient.


Statement 2:
Ann planted 10 percent more trees than Bob planted.

Let's translate this into an equation using A and B:



Again, let's substitute this in for A in our ratio:





We found a value for the ratio of Bob's trees to Ann's trees. Statement 2 alone is sufficient.


Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient.