You are making cookies. One recipe calls for 4 cups of chocolate morsels for 3 batches of cookies.. A second recipe calls for 5 cups of chocolate morsels for 4 batches of cookies. Which cookies will contain more chocolate morsels?
4/3 = 1 1/3 (1.3333) cups per batch
5/4 - 1 1/4 (1.25) cups per batch
The first one because the first one has 1 1/3 cups of choc morsels while the second one has 1 1/4 cups choc morsels.
To determine which recipe will result in more chocolate morsels per batch of cookies, we need to compare the amounts of chocolate morsels used in each recipe.
Let's calculate the amount of chocolate morsels per batch for each recipe:
Recipe 1:
- 4 cups of chocolate morsels for 3 batches of cookies
- Divide the 4 cups by 3 batches: 4 cups / 3 = 1.33 cups per batch
Recipe 2:
- 5 cups of chocolate morsels for 4 batches of cookies
- Divide the 5 cups by 4 batches: 5 cups / 4 = 1.25 cups per batch
Comparing the results, we can see that the first recipe contains more chocolate morsels per batch of cookies, with 1.33 cups compared to 1.25 cups in the second recipe.
Well, if we break it down, the first recipe calls for 4 cups of chocolate morsels for 3 batches of cookies. So, for one batch, it would be 4/3 cups of chocolate morsels.
Now, the second recipe calls for 5 cups of chocolate morsels for 4 batches of cookies. So, for one batch, it would be 5/4 cups of chocolate morsels.
Now we need to compare these fractions. To make things simple, let's get a common denominator. If we multiply the first fraction by 4/4, it becomes 16/12, and if we multiply the second fraction by 3/3, it becomes 15/12.
So, it appears the first recipe with 16/12 cups of chocolate morsels wins! Although, it seems like someone needs to invent a cookie that weighs more than a cup. That would be quite the cookie monster delight!
To determine which cookies will contain more chocolate morsels, we can calculate the ratio of chocolate morsels to the number of batches for each recipe.
For the first recipe:
- 4 cups of chocolate morsels for 3 batches of cookies
- Ratio of chocolate morsels to batches: 4 cups / 3 batches = 1.33 cups/batch
For the second recipe:
- 5 cups of chocolate morsels for 4 batches of cookies
- Ratio of chocolate morsels to batches: 5 cups / 4 batches = 1.25 cups/batch
Comparing the ratios, the first recipe has a higher ratio, meaning each batch of the first recipe will contain more chocolate morsels compared to the second recipe. Therefore, the first recipe will have cookies with more chocolate morsels.