Question 437848
If the pricing is in terms of the number of consonants and vowels in the word,
then we need to determine how much money each consonant and each vowel is worth.
Let c = the cost of each consonant
Let v = the cost of each vowel
For the eggplant we have 6 consonants and 2 vowels.  So we can write:
6c + 2v = 46
For the carrot, we have 4 consonants and 2 vowels.  So we have:
4c + 2v = 34
If we subtract the 2nd equation from the 1st, we can eliminate v:
2c = 12 -> c = 6
Use one of the two equations above to solve for v:
6(6) + 2v = 46 -> 2v = 10 -> v = 5
So consonants are priced at 6 cents, vowels at 5 cents.
The cost of a melon would be 
3(6) + 2(5) = 28 cents
Ans:28 cents