I don't get this SAT Question of the Day. The population of Norson, the largest city in Transitania, is 50 percent of the rest of the population of Transitania. The population of Norson is what percent of the entire population of Transitania?

The answer choices are 20, 25, 30, 33 with 1/3 and 50.

To solve this SAT question, we need to understand the relationship between the population of Norson, the largest city in Transitania, and the rest of the population of Transitania.

According to the question, the population of Norson is 50 percent of the rest of the population of Transitania. This means that if we add the population of Norson to the population of the rest of Transitania, we will have the entire population of Transitania.

Let's use variables to represent the population of Norson, the rest of Transitania, and the entire Transitania population.

Let N represent the population of Norson.
Let R represent the population of the rest of Transitania.
Let T represent the entire population of Transitania.

According to the statement, N = 0.5R, meaning the population of Norson is 50 percent of the population of the rest of Transitania.

To find the entire population of Transitania, we need to add the population of Norson and the population of the rest of Transitania together: T = N + R.

Now, let's substitute N = 0.5R into the equation: T = 0.5R + R.

Simplifying, we get T = 1.5R.

To find the percentage that the population of Norson is of the entire population of Transitania, we can use the formula:

(N / T) × 100

Substituting N = 0.5R and T = 1.5R, we get:

(0.5R / 1.5R) × 100

Simplifying, we get (1/3) × 100.

Therefore, the population of Norson is 33 1/3 percent of the entire population of Transitania.

The correct answer choice is 33 with 1/3.

Let N be the population of Norson and T be the population of Transitania, of which Norson is a part.

N = 0.5(T-N)
1.5 N = 0.5 T
N/T = 1/3 = 33.3% (since they asked for %)