Which strategies can be used to solve this problem?

A county fair plans to have 24 pigs in its pig exhibit area. Eight pigs can fit in a large circular pen. The rest of the pigs will be put into square pens that can each fit 2 pigs. What is the fewest number of square pens that will be needed so each pig is in a pen?

Choose all answers that are correct.

Model the problem. Use 24 objects to represent the pigs. Move 8 objects into one group. Then put the remaining objects into groups of 2. Then count the groups of 2 to find the number of square pens.

Translate into an equation.
(24 – 8) ÷ 2 = p

Work backward. Find the number of square pens by dividing 24 by 2. Then what is left over goes into the circular pen.

Use logical reasoning.
Subtract 2 pigs 7 times. The number of pigs left will be the number of pigs in the square pens.

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The correct strategies to solve this problem are:

1. Model the problem: In this strategy, you represent the pigs using objects and organize them into groups. First, move 8 objects into one group to represent the pigs in a large circular pen. Then, put the remaining objects into groups of 2 to represent the pigs in square pens. Finally, count the number of groups of 2 to determine the fewest number of square pens needed.

2. Translate into an equation: The equation (24 - 8) ÷ 2 = p can be used to find the number of square pens needed. In this equation, 24 represents the total number of pigs, 8 represents the number of pigs in the circular pen, and "p" represents the number of square pens needed. By subtracting the number of pigs in the circular pen from the total number of pigs and then dividing the result by 2, you can find the value of "p".

3. Work backward: Another strategy is to work backward. Start with the total number of pigs (24) and divide it by 2 to find the number of square pens needed. Then, subtract the number of pigs that can fit in the square pens from the total number of pigs to determine the number of pigs that will fit in the circular pen.

4. Use logical reasoning: This strategy involves subtracting 2 pigs from the total number of pigs multiple times. By subtracting 2 pigs 7 times, you can determine the number of pigs that will be in the square pens. The remaining pigs will be the number of pigs in the circular pen.

You can choose all the strategies that are correct for solving the given problem.