Final answer:
If p and q vary inversely and p is 22 when q is 24, the value of q when p is equal to 66 can be found by using the formula for inverse variation.
Step-by-step explanation:
If p and q vary inversely and p is 22 when q is 24, we can use the formula for inverse variation: p = k/q, where k is a constant. To find k, we can substitute the given values: 22 = k/24. Cross-multiplying gives us k = 24 * 22 = 528. Now we can find q when p is equal to 66: 66 = 528/q. Cross-multiplying gives us q = 528/66 = 8.