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Javier is making trail mix to take on a hike. He uses the recipe shown in the table.Trail Mix Recipe34 cup toasted walnuts34 cup toasted pecans12 cup pumpkin seeds12 cup sunflower seeds13 cup raisins23 cup chocolate chipsAfter mixing the trail mix, Javier separated the mix into 14 bags. If each bag had the same amount of trail mix, how much trail mix was in each bag? Express your answer as a fraction in lowest terms.

Question

Javier is making trail mix to take on a hike. He uses the recipe shown in the table.Trail Mix Recipe34 cup toasted walnuts34 cup toasted pecans12 cup pumpkin seeds12 cup sunflower seeds13 cup raisins23 cup chocolate chipsAfter mixing the trail mix, Javier separated the mix into 14 bags. If each bag had the same amount of trail mix, how much trail mix was in each bag? Express your answer as a fraction in lowest terms.

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Solution

First, we need to add up all the ingredients to find out how much trail mix Javier made in total.

Here's the recipe:

  • 3/4 cup toasted walnuts
  • 3/4 cup toasted pecans
  • 1/2 cup pumpkin seeds
  • 1/2 cup sunflower seeds
  • 1/3 cup raisins
  • 2/3 cup chocolate chips

To add these fractions, we need to find a common denominator. The common denominator for 4, 2, and 3 is 12.

So, we convert each fraction:

  • 3/4 cup toasted walnuts = 9/12 cup
  • 3/4 cup toasted pecans = 9/12 cup
  • 1/2 cup pumpkin seeds = 6/12 cup
  • 1/2 cup sunflower seeds = 6/12 cup
  • 1/3 cup raisins = 4/12 cup
  • 2/3 cup chocolate chips = 8/12 cup

Now, we add these fractions:

9/12 + 9/12 + 6/12 + 6/12 + 4/12 + 8/12 = 42/12 cups

We simplify 42/12 to 3.5 cups.

So, Javier made 3.5 cups of trail mix.

He then divided this into 14 bags.

To find out how much trail mix is in each bag, we divide the total amount of trail mix by the number of bags:

3.5 cups / 14 bags = 0.25 cups/bag

So, each bag contains 0.25 cups of trail mix.

This problem has been solved

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