To find out how much chicken broth you'll need and whether you'll need to buy more, let's first add up the requirements for both recipes.
1. Total chicken broth needed:
- Collard greens: 4 ⅔ cups
- Potato salad: 3.75 cups
Converting everything to an improper fraction or decimal can make it easier to add:
- 4 ⅔ cups = \( \frac{14}{3} \) cups = approximately 4.67 cups
- 3.75 cups = \( \frac{15}{4} \) cups = 3.75 cups
Adding these together:
- \( 4 \frac{2}{3} + 3.75 = 4.67 + 3.75 = 8.42 \text{ cups} \)
2. Chicken broth currently available:
- You have 1 ½ cups in the fridge (which is 1.5 cups).
Calculating how much additional chicken broth you will need:
- Total needed: 8.42 cups
- Available: 1.5 cups
- Additional chicken broth needed: \[ 8.42 - 1.5 = 6.92 \text{ cups} \]
3. Number of cartons required: Each carton contains 4 cups of chicken broth, so to find out how many cartons you need to buy, you divide the additional amount needed by the volume of a carton:
- \( \frac{6.92}{4} \approx 1.73 \) cartons
Since you can’t buy a fraction of a carton, you will need to buy 2 cartons.
4. Total chicken broth after buying the cartons: Now, let's calculate how much chicken broth you will have after buying 2 cartons:
- Each carton has 4 cups, so: \[ 2 \text{ cartons} \times 4 \text{ cups/carton} = 8 \text{ cups} \] Adding this to what you already had:
- \( 1.5 \text{ cups} + 8 \text{ cups} = 9.5 \text{ cups} \)
5. Amount left over after making the recipes: After using the 8.42 cups needed for your recipes, subtract this from the total you will have:
- \( 9.5 \text{ cups} - 8.42 \text{ cups} = 1.08 \text{ cups} \)
Final answers: You will need to buy 2 cartons of chicken broth, and you will have approximately 1.08 cups of chicken broth left over after making both recipes.
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