To determine how many cups of granola will be needed, we need to understand the ratio given in the recipe, which is 1 cup of nuts for every 2 cups of granola.
Let's represent 1 cup of nuts as "N" and 2 cups of granola as "G".
To make 12 cups of trail mix, we need to find out how many "G" are needed.
We can set up a ratio equation:
N : G = 1 : 2
Since the recipe calls for 1 cup of nuts for every 2 cups of granola, we can multiply both sides of the equation by 6 (to make the ratio equivalent) since 6 * 2 = 12.
N * 6 : G * 6 = 1 * 6 : 2 * 6
6N : 6G = 6 : 12
Then we can simplify the equation to:
N : G = 1 : 2
So, to make 12 cups of trail mix, you will need 6 cups of granola.
Tape Diagram:
N : G
───┐ ┌───┐
1 ──┘ └───┘ 2
Each line on the tape diagram represents a cup. Since we want to make 12 cups, we can determine that we need 6 segments (or cups) of granola.
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
4 answers
It’s opening day at an amusement park. There are 132 people in line before it officially opens. If the ratio of adults to kids waiting to get in is 5:6 , how many kids are waiting in line? (1 point) Responses 60 kids 60 kids 12 kids 12 kids 72 kids 72 kids 66 kids
To find out how many kids are waiting in line, we need to split the total number of people waiting in line (132) according to the given ratio of adults to kids, which is 5:6.
Let's represent the number of adults as "A" and the number of kids as "K".
Based on the ratio, we can set up the equation: A : K = 5 : 6
To find the value of K, we need to determine the common multiple of 5 and 6. The smallest common multiple of 5 and 6 is 30.
So, if we multiply both sides of the equation by 6, we get:
6A : 6K = 5 : 6
Since the ratio is now equivalent to the total number of people waiting in line, we have:
6A + 6K = 132
We can simplify the equation to:
6(A + K) = 132
Dividing both sides of the equation by 6, we get:
A + K = 22
Now, we need to solve for K by isolating it on one side of the equation:
K = 22 - A
Since the number of kids (K) is what we want to find, we can substitute it with the value from the given ratio:
K = 22 - 5
K = 17
Therefore, there are 17 kids waiting in line.
Let's represent the number of adults as "A" and the number of kids as "K".
Based on the ratio, we can set up the equation: A : K = 5 : 6
To find the value of K, we need to determine the common multiple of 5 and 6. The smallest common multiple of 5 and 6 is 30.
So, if we multiply both sides of the equation by 6, we get:
6A : 6K = 5 : 6
Since the ratio is now equivalent to the total number of people waiting in line, we have:
6A + 6K = 132
We can simplify the equation to:
6(A + K) = 132
Dividing both sides of the equation by 6, we get:
A + K = 22
Now, we need to solve for K by isolating it on one side of the equation:
K = 22 - A
Since the number of kids (K) is what we want to find, we can substitute it with the value from the given ratio:
K = 22 - 5
K = 17
Therefore, there are 17 kids waiting in line.
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