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Question 437848: The proprietor of our local grocery store has his own system of pricing items, using vowels and consonants. An eggplant is 46 cents and a carrot is 34 cents. According to the same system, how much does a melon cost?
Answer by htmentor(1343)   (Show Source):
You can put this solution on YOUR website! 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
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