A. 50
B. 60
C. 75
D. 90
E. 120

# Proportions

Proportion questions may ask about directly or indirectly proportional.  If directly proportional, as one thing goes up so does the other; you can set up an equation that allows you to cross multiply.  Be sure you keep the units in the corresponding position.  For example in question 10, make sure you set it up so that when you cross multiply, the solution comes out in inches.  If indirectly proportional, as one thing goes up the other goes down;  You set up an equation in which the right side of the equation is inverted (indirect) so that the two conditions are arranged as follows: =.  Make sure the units in the numerator and denominator are the same.  For example, if driver A drives 60mph for 2 hours, how long does it take driver B get who drives 45mph to drive the same distance?  Set it up as  =  and cross multiply.  The answer is 2  hours.  Be sure you look at your answer in proportion problems and see if it makes sense.

7.  The window cranks in the Wizard’s castle raise the window 9 inches every time they are turned twice.  How high will the window be after turning the crank eight times?

#### (A) 18 (B) 36 (C) 72 (D) 90 (E) 120

4.  A model castle company sells models that are on a scale of 24:1. If an original castle tower was 84 feet tall, how many inches tall will the model tower be?

(A) 3
(B) 3.5
(C) 36
(D) 42
(E) 84