The Snack Shack is making a batch of trail mix. They use 9 1/3 pounds of granola, 9 1/3 pounds of mixed nuts, and 9 1/3 pounds of yogurt raisins to make a trail mix. They divide the mixture into 14 packages. How much is in each package? Explain.
What is the ratio of cups of mixed nuts to the total number of cups of granola?
The ratio of cups of mixed nuts to cups of granola is
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To find out how much is in each package, we need to divide the total weight of the trail mix by the number of packages.
First, we need to add up the weights of the granola, mixed nuts, and yogurt raisins:
9 1/3 + 9 1/3 + 9 1/3
Since all three weights are the same, we can simply add them together:
9 1/3 + 9 1/3 + 9 1/3 = 27/3 = 9
So, the total weight of the trail mix is 9 pounds.
Now, we need to divide this weight by the number of packages:
9 / 14
To divide with fractions, we can multiply the numerator by the reciprocal of the denominator:
9 / 14 = 9 * (1/14)
Multiply the numerators together:
9 * 1 = 9
Multiply the denominators together:
14 * 1 = 14
So, the weight in each package is 9/14 pounds or 0.64 pounds (rounded to two decimal places).
Therefore, each package of trail mix contains approximately 0.64 pounds.
3 * 9 1/3 = 28
28 / 14 = _______ pounds