Your family signed up to bring collard greens and potato salad to this year's Community Center Fall Fest & Potluck. You will need chicken broth for both recipes: 4 cups for the collard greens and 3.75 cups to boil the potatoes. There is an open carton of chicken broth in the fridge with 1 ½ cups in it. If there are 4 cups of chicken broth in one carton, how many cartons will you need to buy? How much chicken broth will be left over?

1 answer

First, let's determine the total amount of chicken broth needed for both recipes.

For collard greens, you need:

  • 4 cups of chicken broth

For potato salad, you need:

  • 3.75 cups of chicken broth

Now, add these amounts together: \[ 4 \text{ cups} + 3.75 \text{ cups} = 7.75 \text{ cups} \]

Now, you currently have 1.5 cups of chicken broth in the fridge. We need to find out how much more broth you need: \[ 7.75 \text{ cups} - 1.5 \text{ cups} = 6.25 \text{ cups} \]

Next, figure out how many cartons of chicken broth you need to buy. Since there are 4 cups in one carton, we calculate how many cartons are necessary for 6.25 cups: \[ \frac{6.25 \text{ cups}}{4 \text{ cups/carton}} = 1.5625 \text{ cartons} \]

Since you can't buy a fraction of a carton, you will need to round up to the nearest whole carton, which means you'll need to buy 2 cartons of chicken broth.

Now, let's calculate how much chicken broth will be left over after using what you need:

  1. Total chicken broth bought: \[ 2 \text{ cartons} \times 4 \text{ cups/carton} = 8 \text{ cups} \]

  2. Total chicken broth used: \[ 7.75 \text{ cups} \text{ (needed for recipes)} \]

  3. Chicken broth left over: \[ 8 \text{ cups} - 7.75 \text{ cups} = 0.25 \text{ cups} \]

To summarize:

  • You need to buy 2 cartons of chicken broth.
  • There will be 0.25 cups (or 1/4 cup) left over after preparing the recipes.