SOLUTION: Sean Has 19 coins .Coins are worth 5 cents 10 cents or 20 cents. He has as many 5 cents coins as 10 cents and total value of all coins is $2.20.How many 10 cent coins does sean hav

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Question 1081210: Sean Has 19 coins .Coins are worth 5 cents 10 cents or 20 cents. He has as many 5 cents coins as 10 cents and total value of all coins is $2.20.How many 10 cent coins does sean have in his pocket?
Answer by ikleyn(52847) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let "x" be the number of 10-cent coins.
Then the number of 5-cent coins is x also, and the number of 20-cent coins is (19-2x).


The "value" equation is

5x + 10x + 20*(19-2x) = 220  cents,

15x + 380 - 40x = 220,

-25x = 220-380  --->  -25x = -160  --->  x = %28-160%29%2F%28-25%29 = there is no integer solution.


===>  the problem formulation is incorrect OR the problem has no solution.


In any case, I regret about my time I spent for nothing solving it.

May be, the only sense is that other tutors will save their time after reading my answer.