cas is making one dozen snacks for his team. He uses $$ \frac{1}{4} $$ cup of dried cherries $$ \frac{3}{4} $$ and cup of apricots for each snack. How many cups of dried fruit does Lucas need for his one dozen ?? mber. there are 12 snacks in one dozen. Write and solve equations to show how you found the

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To find out how many cups of dried fruit Lucas needs for one dozen snacks, we can follow these steps:

1. **Identify the quantities needed for one snack:**
   - Dried cherries: $$ \frac{1}{4} $$ cup
   - Dried apricots: $$ \frac{3}{4} $$ cup

2. **Calculate the total amount needed for one dozen snacks:**
   - Since one dozen equals 12 snacks, we will multiply the amount of each type of dried fruit by 12.

3. **Set up the equations:**
   - Total dried cherries needed: 
     $$
     C = 12 \times \frac{1}{4}
     $$
   - Total dried apricots needed: 
     $$
     A = 12 \times \frac{3}{4}
     $$

4. **Calculate the total amounts:**
   - For dried cherries:
     $$
     C = 12 \times \frac{1}{4} = \frac{12}{4} = 3 \text{ cups}
     $$
   - For dried apricots:
     $$
     A = 12 \times \frac{3}{4} = \frac{36}{4} = 9 \text{ cups}
     $$

5. **Find the total amount of dried fruit needed:**
   - Total dried fruit:
     $$
     T = C + A = 3 + 9 = 12 \text{ cups}
     $$

Now, let's summarize the results:
- Lucas needs a total of $$ 3 $$ cups of dried cherries and $$ 9 $$ cups of dried apricots for a total of $$ 12 $$ cups of dried fruit for one dozen snacks.
Lucas needs a total of 12 cups of dried fruit for one dozen snacks.

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