Calculus

Vanna Red sells the vowels a, e, i, o, and u each for a different
price but less than $250. Consonants are free. You must pay
separately for each occurrence of a vowel in a word. Audacious
sells for $260, equivocations for $340, inimitable for $225,
onomatopoeia for $435, and unamibiguous for $225. How much does
Vanna charge for each vowel?

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