Carl had a part of a pizza. He gave 1/6 of a pizza to Susan. What part of a pizza did Carl have at first? Use the variable p.
To find the part of the pizza that Carl had at first, we can use the given information and represent it using the variable p.
Here's how you can solve the problem step-by-step:
1. Start by assigning a value to the variable p, which represents the whole pizza that Carl had at first.
2. According to the problem, Carl gave 1/6 of a pizza to Susan. This means the amount of pizza Carl had after giving some to Susan is p - 1/6.
3. Since the amount he had after giving some to Susan is p - 1/6, we can set up an equation: p - 1/6 = what Carl had initially.
4. To find what Carl had initially, we need to isolate p. To do this, we'll add 1/6 to both sides of the equation: (p - 1/6) + 1/6 = p.
5. Simplify the equation: p - 1/6 + 1/6 = p, which becomes p = p.
6. Since p = p, we can conclude that the amount of pizza Carl had initially, represented by the variable p, remains unchanged.
Therefore, the part of the pizza that Carl had at first is simply p, or in other words, the whole pizza.