K. A roll of ribbon was 12 meters long. Diego cut a pieces of ribbon that were 0.4 meter each to tie some presents. He then used the remaining ribbon to make some wreaths. Each wreath required 0.6 meter. For each question, explain your reasoning. a. How many meters of ribbon were available for making wreaths? How many wreaths could Diego make with the available ribbon?

To determine how many meters of ribbon were available for making wreaths and how many wreaths Diego could make, we can follow these steps: ### Step 1: Calculate the total length of ribbon used for tying presents. Diego cut pieces of ribbon that were 0.4 meters each. However, we need to know how many pieces he cut to find out the total length used. Since the problem does not specify how many pieces he cut, we will denote the number of pieces he cut as \( n \). The total length of ribbon used for tying presents can be calculated as: \[ \text{Total length used for presents} = n \times 0.4 \text{ meters} \] ### Step 2: Calculate the remaining ribbon after cutting for presents. The original length of the ribbon was 12 meters. After cutting \( n \) pieces of 0.4 meters each, the remaining length of ribbon can be calculated as: \[ \text{Remaining ribbon} = 12 \text{ meters} - (n \times 0.4 \text{ meters}) \] ### Step 3: Calculate how many wreaths can be made with the remaining ribbon. Each wreath requires 0.6 meters of ribbon. The number of wreaths \( w \) that can be made with the remaining ribbon can be calculated as: \[ w = \frac{\text{Remaining ribbon}}{0.6 \text{ meters}} = \frac{12 - (n \times 0.4)}{0.6} \] ### Conclusion To answer the questions, we need to know how many pieces of ribbon Diego cut (the value of \( n \)). Without that information, we cannot provide specific numerical answers. However, the formulas above will allow you to calculate the remaining ribbon and the number of wreaths based on the number of pieces cut. If you have a specific number of pieces that Diego cut, please provide that, and I can give you the exact calculations.