A man has 29 coins in his pocket, all of which are dimes and quarters. If the total value of his change is 515 cents, how many dimes and how many quarters does he have? The number of dimes equal? Number of quarters equals?
Accepted Solution
A:
Answer:The number of Dimes is 14 and The number of quarters is 15 Step-by-step explanation:Given as :The total number of coins = 29 The value of the changes = 515 centsLet the number of dimes = DLet the number of quarters = Q According to question D + Q = 29 .......1And ∵ 1 Dimes = 10 cents 1 Quarter = 25 centsSo, 25 Q + 10 D = 515 ........... 2From eq 1 and 2 ( 25 Q + 10 D ) - ( 10 D + 10 Q ) = 515 - 290 Or, 15 Q = 225∴ Q = 15 Again , D = 29 - 15 ∴ D = 14Hence The number of Dimes is 14 and The number of quarters is 15 Answer