There are 8 pounds of raisins in Morgan's supply.
Let us say there are 'a' pounds of raisins in her supply.
Fraction is a manner to represent part of a whole.
Raisins used to make trail mix = 1/4 of a = 1/4 a
Raisins used to make cookies = 3/8 of a = 3/8 a
It is given that:
Morgan uses 5 pounds of raisins,
[tex]\frac{1}{4} a+\frac{3}{8} a=5[/tex]
[tex]\frac{5}{8} a = 5\\\\a=8[/tex]
Therefore, there are 8 pounds of raisins in Morgan's supply.
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