A recipe or trail mix calls for 1/4 cups of raisins, 1 1/2 cups of granola, 1/2 cup of mixed nuts, and 1/8 cup of chocolate chips.
What fraction of each ingredient is required to make 5 1/2 recipes
well, just multiply each ingredient by 5 1/2. For the granola, that's
(1 1/2)(5 1/2) = 3/2 * 11/2 = 33/4 = 8 1/4
and so on
i need help with the ratio of chocolate chips to pretzels in 1 batch and 1_2 batch of trail mix?
if
cup of chocolate chips for each batch of trail mix she makes.
How many cups of chocolate chips does she need for batches of trail mix?
1/4 1 1/21/2
To find out the required amount of each ingredient to make 5 1/2 recipes, we need to multiply the original amounts of the ingredients by 5 1/2.
Let's start with the raisins. The original recipe calls for 1/4 cups of raisins per recipe. So, to find the amount of raisins needed for 5 1/2 recipes, we multiply 1/4 by 5 1/2.
1/4 * 5 1/2 = 5/4 * 11/2
= (5 * 11) / (4 * 2)
= 55/8
= 6 7/8 cups of raisins
So, to make 5 1/2 recipes, you will need 6 7/8 cups of raisins.
Next, let's calculate the amount of granola. The original recipe calls for 1 1/2 cups of granola per recipe. So, to find the amount of granola needed for 5 1/2 recipes, we multiply 1 1/2 by 5 1/2.
1 1/2 * 5 1/2 = 3/2 * 11/2
= (3 * 11) / (2 * 2)
= 33/4
= 8 1/4 cups of granola
Therefore, to make 5 1/2 recipes, you will need 8 1/4 cups of granola.
Now, let's calculate the amount of mixed nuts. The original recipe calls for 1/2 cup of mixed nuts per recipe. So, to find the amount of mixed nuts needed for 5 1/2 recipes, we multiply 1/2 by 5 1/2.
1/2 * 5 1/2 = 1/2 * 11/2
= (1 * 11) / (2 * 2)
= 11/4
= 2 3/4 cups of mixed nuts
Thus, to make 5 1/2 recipes, you will need 2 3/4 cups of mixed nuts.
Finally, let's calculate the amount of chocolate chips. The original recipe calls for 1/8 cup of chocolate chips per recipe. So, to find the amount of chocolate chips needed for 5 1/2 recipes, we multiply 1/8 by 5 1/2.
1/8 * 5 1/2 = 1/8 * 11/2
= (1 * 11) / (8 * 2)
= 11/16
= 11/16 cups of chocolate chips
Hence, to make 5 1/2 recipes, you will need 11/16 cups of chocolate chips.
To summarize, to make 5 1/2 recipes of the trail mix, you will need:
- 6 7/8 cups of raisins,
- 8 1/4 cups of granola,
- 2 3/4 cups of mixed nuts, and
- 11/16 cups of chocolate chips.