SOLUTION: I need help with this word problem: A $6 bag of trail mix contains 3 cups of dried fruit and 4 cups of almonds. A $9 bag of the same trail mix contains 4 1/2 cups of dried fruit

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Question 1026339: I need help with this word problem:
A $6 bag of trail mix contains 3 cups of dried fruit and 4 cups of almonds. A $9 bag of the same trail mix contains 4 1/2 cups of dried fruit and 6 cups of almonds. Write a system of equations that could be used to find the price of 1 cup of dried fruit and 1 cup of almonds.
Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
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I need help with this word problem:
A $6 bag of trail mix contains 3 cups of dried fruit and 4 cups of almonds. A $9 bag of the same trail mix contains 4 1/2 cups of dried fruit and 6 cups of almonds. Write a system of equations that could be used to find the price of 1 cup of dried fruit and 1 cup of almonds.
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You asked about a system of equations? - Here it is:

  3d + 4a = 600,   (1)
4.5d + 6a = 900.   (2)

where "d" is the price of one cup of dried fruit and "a" is the price of one cup of almonds, all prices are in cents.

Thank you for asking!


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