Answer:
Franchise has 11 quarters and 16 dimes.
Step-by-step explanation:
Let d represent number of dimes and q represent number of quarters.
We have been given that the number of dimes is five more than the number of quarters. We can represent this information in an equation as:

We are also told that Francine has $4.35 in dimes and quarters. We can represent this information in an equation as:

Now, we will substitution method to solve linear equations. Upon substituting equation (1) in equation (2), we will get:







Therefore, Franchise has 11 quarters.
Upon substituting
in equation (1), we will get:


Therefore, Franchise has 16 dimes.