SOLUTION: Sarah has 30 coins consisting of nickels and dimes. If her nickels were dimes and her dimes were nickels, her coins would be worth 40 cents more. How much are her coins worth?

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Question 607959: Sarah has 30 coins consisting of nickels and dimes. If her nickels were dimes and her dimes were nickels, her coins would be worth 40 cents more. How much are her coins worth?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

Sarah has 30 coins consisting of nickels and dimes

Let x and (30-x) represent the original number of nickels and dimes respectively

Question states**Cents makes Sense!

 5x +10(30-x) = 10x +5(30-x) - 40

    300-110 = 10x

         19 = x, the number of nickels, and there are 11 dimes(30-19)

 11·10 + 19·5 = 200cents = $2.05 are what the coins are worth