A pancake recipe calls for 4 cups of pancake mix for every 3 cups of milk.A biscut recipe calls for 2 cups of biscut mix forevery 1 cup of milk.Which recipehas a greater ratio of mix to milk?Explain.
To determine which recipe has a greater ratio of mix to milk, we can compare the ratios of mix to milk for both recipes.
For the pancake recipe, the ratio of mix to milk is 4:3, which means that for every 4 cups of pancake mix, you need 3 cups of milk.
For the biscuit recipe, the ratio of mix to milk is 2:1, which means that for every 2 cups of biscuit mix, you need 1 cup of milk.
To compare the ratios, we can simplify them by finding their common factors.
For the pancake recipe:
4 cups of mix to 3 cups of milk can be simplified to 4/4 cups of mix to 3/4 cups of milk, which equals 1 cup of mix to 3/4 cups of milk.
For the biscuit recipe:
2 cups of mix to 1 cup of milk is already its simplest form.
Comparing the simplified ratios, we can see that the pancake recipe has a greater ratio of mix to milk than the biscuit recipe. Therefore, the pancake recipe requires a larger amount of mix compared to the amount of milk needed.
To determine which recipe has a greater ratio of mix to milk, we can compare the ratios directly. In the pancake recipe, we have 4 cups of pancake mix for every 3 cups of milk, which can be written as a fraction: 4/3. In the biscuit recipe, we have 2 cups of biscuit mix for every 1 cup of milk, which can be written as a fraction: 2/1.
To compare these fractions, we can convert them to a common denominator. In this case, the common denominator is 3. Thus, we need to convert the biscuit ratio to have a denominator of 3.
To do this, we multiply both the numerator and denominator of the biscuit ratio by 3, giving us 2/1 * 3/3 = 6/3. Now we have both ratios with the same denominator, so we can directly compare them.
Comparing the two ratios, we have:
Pancake mix to milk: 4/3
Biscuit mix to milk: 6/3
Since 6/3 is greater than 4/3, the biscuit recipe has a greater ratio of mix to milk.