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Turn the question into an equation by representing turnips as 't' and parsnips and 'p'. We know that 6 parsnips and 7 turnips is the same as 8 parsnips and 4 turnips so this can be written as:

6p+7t= 8p+4t

Now we want to know how many turnips are equal to 1 parsnip so we take all the ts to one side and all the ps to one side:

3t=2p

Now we can write all the parnsips as turnips by substituting 3t into the equation.

(3x3t)+7t=(4x3t)+4t

so 16t=16t