Hunter needs to make trail mix with nuts and dried fruit. the nuts cost $4 per pound and the dried fruit costs $3.50 per pound. hunter can spend a total of $22 and he needs to make six pounds of trail mix. let x = the amount of nuts. let y = the amount of dried fruit.   how many pounds of dried fruit can hunter purchase?

X=amount of nuts
y=amount of dried fruit
then the total amount will be:
x+y=6
⇒y=6-xi
Total amount to spend will be:
4x+3.5y=22ii
substituting ii in i we get:
4x+3.5(6-x)=22
solving for x we get:
4x+21-3.5x=22
4x-3.5x=22-21
0.5x=1
x=1/0.5
x=2 pounds
y=6-x=6-2=4 pounds
Therefore the amount of nuts was x=2 pounds and the amount of dried fruits was y=4 pounds

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