SOLUTION: A man has 25 coins in his pocket, all of which are dimes and quarters. If the total value of his change is 460 cents, how many dimes and how many quarters does he have? Your answe

Question 859402: A man has 25 coins in his pocket, all of which are dimes and quarters. If the total value of his change is 460 cents, how many dimes and how many quarters does he have?
Your answer is
number of dimes equals_______
number of quarters equals ________
Answer by ramkikk66(644) (Show Source): You can put this solution on YOUR website!

Let the number of dimes be x
Then number of quarters = 25 - x
Value of dimes = 10*x cents
Value of quarters = (25 - x) * 25 cents

Total value = 
Simplifying
 or 
So he has  dimes and  quarters.
Check: Sum = 11 * 10 + 14 * 25 = 110 + 350 = 460. Correct!
Hope you got it :)

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