Set up a proportional relationship:
xf/1n=(f/5)/(n/3)
xf/1n=3f/(5n) Â multiply both sides by 1n
xf=3f/5 so
x=3/5
Dave must mix in 3/5 of a cup of fruit with a single cup of nuts.
You could of also just noted that you need to multiply 1/5 times 3 because 1/5 mixes with just 1/3 of a cup of nuts...