If 7 knicks = 2 knacks and 3 knacks = 4 knocks, how many knicks are equal to 24 knocks?
Since 7 knicks = 2 knacks, we get the conversion factor $\frac{7\text{ knicks}}{2\text{ knacks}} = 1$. Likewise, we can get the conversion factor $\frac{3\text{ knacks}}{4\text{ knocks}} = 1$. We find that 24 knocks are equal to \[24\text{ knocks}\cdot \frac{3\text{ knacks}}{4\text{ knocks}} \cdot \frac{7\text{ knicks}}{2\text{ knacks}} = \boxed{63}\text{ knicks}.\]
63
Level 4
Prealgebra
Problem: If 7 knicks = 2 knacks and 3 knacks = 4 knocks, how many knicks are equal to 24 knocks?
Solution:<|START_OF_LATENT|><|PRIOR_PREFIX|>To solve the problem, we need to establish the relationships between knicks, knacks, and knocks based on the given equations. 

First, we know from the problem statement that 7 knicks are equivalent to 2 knacks. This can be expressed as a ratio: 

1 knack = 7/2 knicks.

Next, we also know that 3 knacks are equivalent to 4 knocks. We can express this relationship in terms of knacks:

1 knack = 4/3 knocks.

Now, we need to find out how many knicks are equivalent to 24 knocks. To do this, we first convert knocks to knacks using the second relationship:

24 knocks = 24 * (3/4) knacks = 18 knacks.

Now that we have the number of knacks, we can convert knacks to knicks using the first relationship:

18 knacks = 18 * (7/2) knicks = 63 knicks.

Thus, the final answer is 63.<|END_OF_LATENT|> The final answer is $63$.