00. A cook at a restaurant is calculating the amounts of ingredients needed to make soup for the next 5 days. For each of these days, she will use $$ 2 \frac{1}{8} $$ pounds of carrots and $$ y $$ pounds of celery. She will use a total of $$ 19 \frac{3}{8} $$ pounds of carrots and celery to make all the soup. Which equation shows how to find the number of pounds of celery, $$ y $$, she will use to make soup each day? A. $$ y=19 \frac{3}{8}-2 \frac{1}{8} $$ B. $$ y=19 \frac{3}{8} \div 5 $$ C. $$ y=\left(19 \frac{3}{8}-2 \frac{1}{8}\right) \div 5 $$ D. $$ y=\left(19 \frac{3}{8} \div 5\right)-2 \frac{1}{8} $$

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To solve the problem, we need to determine how to find the number of pounds of celery, $$ y $$, that the cook will use each day.

1. **Understanding the total ingredients used:**
   - The cook uses $$ 2 \frac{1}{8} $$ pounds of carrots each day for 5 days. 
   - Therefore, the total amount of carrots used over 5 days is:
     $$
     5 \times 2 \frac{1}{8}
     $$

2. **Calculating the total amount of carrots:**
   - First, convert $$ 2 \frac{1}{8} $$ to an improper fraction:
     $$
     2 \frac{1}{8} = \frac{16}{8} + \frac{1}{8} = \frac{17}{8}
     $$
   - Now, calculate the total amount of carrots used over 5 days:
     $$
     5 \times \frac{17}{8} = \frac{85}{8}
     $$

3. **Total amount of carrots and celery:**
   - The total amount of carrots and celery used is $$ 19 \frac{3}{8} $$, which can also be converted to an improper fraction:
     $$
     19 \frac{3}{8} = \frac{152}{8} + \frac{3}{8} = \frac{155}{8}
     $$

4. **Setting up the equation:**
   - The total amount of carrots and celery used is equal to the total amount of carrots plus the total amount of celery:
     $$
     \frac{155}{8} = \frac{85}{8} + 5y
     $$
   - Rearranging this gives:
     $$
     5y = \frac{155}{8} - \frac{85}{8}
     $$
   - Simplifying the right side:
     $$
     5y = \frac{155 - 85}{8} = \frac{70}{8} = \frac{35}{4}
     $$
   - Dividing both sides by 5 to solve for $$ y $$:
     $$
     y = \frac{35}{4} \div 5 = \frac{35}{20} = \frac{7}{4} = 1 \frac{3}{4}
     $$

5. **Finding the correct equation:**
   - From the calculations, we see that to find $$ y $$, we first need to subtract the total amount of carrots from the total amount of carrots and celery, and then divide by 5:
     $$
     y = \left(19 \frac{3}{8} - 2 \frac{1}{8}\right) \div 5
     $$

Thus, the correct equation that shows how to find the number of pounds of celery, $$ y $$, she will use to make soup each day is:

**C. $$ y=\left(19 \frac{3}{8}-2 \frac{1}{8}\right) \div 5 $$**
The correct equation is $$ y = \left(19 \frac{3}{8} - 2 \frac{1}{8}\right) \div 5 $$.

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