Answer:
15 dimes and 14 quarters.
Explanation:
Let q represent number of quarters and d represent number of dimes.
We have been given that a collection of dimes and quarters contains 29 coins. We can represent this information in an equation as:


We know each dime is worth $0.10 and each quarter is worth $0.25.
We are also told that the total value of coins is $5. We can represent this information in an equation as:

Upon substituting equation (1) in equation (2), we will get:







Therefore, there are 15 dimes in the collection.
Upon substituting
in equation (1), we will get:

Therefore, there are 14 quarters in the collection.