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A company 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?

Verified Answer :

irspow

p:r=11/8:2/3

p:r=33/24:16/24

p:r=33:16

245/(33+16)=245/49=5

P=33(5)=165 lb of peanuts

R=16(5)=80 lb of raisins

raphealnwobi

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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