Question
A trail mix recipe calls for 1 cup of nuts for every 2 cups of granola. If you want to make 12 cups of trail mix, how many cups of granola will you need? Use a tape diagram to help organize your thinking.(1 point)
cups and it's not 24
To solve this problem, we can use a tape diagram to help us organize our thinking.
Let's represent 1 cup of nuts with the letter "N" and 2 cups of granola with the letter "G". Since the ratio is 1 cup of nuts for every 2 cups of granola, we can draw a tape diagram like this:
N - G - G
To find out how much granola we will need to make 12 cups of trail mix, we first need to determine how many sets of nuts and granola are needed.
Each set consists of 1 cup of nuts (N) and 2 cups of granola (G), so we need to divide 12 cups by the total number of cups in each set (1 cup of nuts + 2 cups of granola = 3 cups).
12 cups ÷ 3 cups/set = 4 sets
Since each set requires 2 cups of granola, we can multiply the number of sets by the amount of granola in each set to find the total amount of granola needed.
4 sets × 2 cups/set = 8 cups
Therefore, to make 12 cups of trail mix, you will need 8 cups of granola.
To find the number of cups of granola needed, we can set up a ratio using the given information.
Let's represent the number of cups of nuts as "N" and the number of cups of granola as "G".
According to the recipe, we need 1 cup of nuts for every 2 cups of granola, so the ratio is 1:2.
We can set up the following proportion:
1/2 = N/12
To solve for N, we can cross-multiply:
2N = 12
Dividing both sides by 2, we find:
N = 6
Since we want to find the number of cups of granola (G), we know that G is twice the amount of nuts (N).
Therefore, G = 2 * N = 2 * 6 = 12
So, you will need 12 cups of granola to make 12 cups of trail mix
To solve this problem, we can use the concept of ratio and proportion.
Since the trail mix recipe calls for 1 cup of nuts for every 2 cups of granola, we can represent this relationship using a tape diagram. Let's assign a variable to the unknown quantity, which is the number of cups of granola needed.
Let's say the number of cups of granola needed is x. Then, the number of cups of nuts needed would be 1/2 of x.
Using the information that you want to make 12 cups of trail mix, we can set up the following equation:
1/2 * x = 12
To solve for x, we can multiply both sides of the equation by 2 to get:
x = 12 * 2
x = 24
Therefore, you would need 24 cups of granola to make 12 cups of trail mix.