Last year, Jenny tutored students in math, in chemistry, and for the ACT. She tutored ten students in math, eight students in chemistry, and seven students for the ACT. She tutored five students in both math and chemistry, and she tutored four students both in chemistry and for the ACT, and five students both in math and for the ACT. She tutored three students in all three subjects. How many students did Jenny tutor last year?

The Praxis Mathematics (5165 ) Exam is a test required by many states for credential candidates planning to teach mathematics at the high school level. It is a single, computer-delivered test that includes questions from two content categories.

The first content category includes Number and Quantity, Algebra, Functions and Calculus. The second content category includes Geometry, Probability and Statistics, and Discrete Mathematics.

The test consists of various question types including selected-response, numeric entry, drag-and-drop and text completion.