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The positive number a is 2106% of the sum of the positive numbers b and c, and b is 81% of c. What percent of b is a?

A researcher surveyed undergraduate students, graduate students, and postdoctoral students. The number of undergraduate students surveyed was 7,150% of the number of postdoctoral students surveyed and the number of graduate students surveyed was 45% of the number of undergraduate students surveyed. If there were 6,435 graduate students surveyed, what was the sum of the number of undergraduate students and postdoctoral students surveyed?

If 350% of n is 35, what is the value of n?

The mass of object \( A \) is \( 484\% \) of the mass of object \( B \), and the mass of object \( A \) is 0.880% of the mass of object \( C \). If the mass of object is \( p\% \) of the mass of object \( B \), what is the value of \( p \)?

In 1980, the population density of Carroll County was 125 people per square mile. In 1990, the population density of Carroll County was 141 people per square mile. The population density of Carroll County in 1990 was \( p\% \) of the population density of Carroll County in 1980. What is the value of \( p \)?

The table summarizes the number of objects in each group.

The number of objects in group C is p%  of the number of objects in group A. What is the value of p?

While the mass of an object is the same everywhere, the weight of an object is not the same on different planets. An object has a weight of 170.00 pounds on Earth and a weight of 186.32 pounds on Neptune. The object’s weight on Jupiter is 252.8% of its weight on Earth. If the object’s weight on Neptune is x% of its weight on Jupiter, which of the following is closest to the value of x?

A scientist analyzed a soil sample with a mass of 900 grams and determined that it contained 189 grams of water. What is the percentage of water, by mass, in this soil sample?

An entomologist placed an initial population of 40 Tenebrio molitor, a type of beetle, into a habitat and monitored the population over time. When the number of Tenebrio molitor in the habitat reached 170% of the initial population, the entomologist moved 75% of the Tenebrio molitor to a second habitat. How many Tenebrio molitor did the entomologist move to the second habitat at this time?

On a plot of land, 48.0% of the square footage is farmland and the remaining square footage is pasture. There are buildings on exactly 23.5% of the square footage of the farmland, and there are buildings on exactly 16.0% of the square footage of the pasture. If there are buildings on exactly p% of the square footage of the plot of land, what is the value of p?

There are 350 objects in a bag. Of these objects, 4% are spheres. How many spheres are in the bag?

On a plot of land, 52.0% of the square footage is farmland and the remaining square footage is pasture. There are buildings on exactly 28.5% of the square footage of the farmland, and there are buildings on exactly 11.0% of the square footage of the pasture. If there are buildings on exactly p% of the square footage of the plot of land, what is the value of p?