Question

How would I solve this?

Answer 1

For any amount of Abigail's mixture, there is a 2/3-to-3/5 ratio of walnuts to dried fruit. So if
`w` is the amount of walnuts and
`f` is the amount of fruit in the mix, we have the relationship

`\frac23w=\frac35f`

If she uses one pound of fruit, so that
`f=1`, she would need

`\frac23w=\frac35\implies\frac32\cdot\frac23w=\frac32\cdot\frac35\implies w=\frac9{10}`

or 9/10 pound of walnuts.