Acompany that makes trail mix uses 1 3/8 pounds of peanuts for every 2/3
pound of raisins. they make 245 pounds of trail mix using only peanuts and raisins. how many pounds of peanuts do they use?

80 pounds of peanuts is used to make 245 pounds of trail mix using only peanuts and raisins.

Let x represent the amount of peanut and y represent the amount of raisins.

Since the mix uses 1 3/8 pounds of peanuts for every 2/3  pound of raisins, hence:

1 3/8 of x = 2/3 of y

11x/8 = 2y/3

y = 33x/16

Given that they make 245 pounds of trail mix, hence:

x + y = 245    

x + 33x/16 = 245

x = 80 pounds

Hence 80 pounds of peanuts is used to make 245 pounds of trail mix using only peanuts and raisins.

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