Question

Francine has $4.35 in dimes and quarters. The number of dimes is five more than the number of quarters. How many of each coin does she have?

Answer 1

344676 I hope that helps

Answer 2

Franchise has 11 quarters and 16 dimes.

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:

`d=q+5...(1)`

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

`0.10d+0.25q=4.35...(2)`

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

`0.10(q+5)+0.25q=4.35`

`0.10q+0.50+0.25q=4.35`

`0.35q+0.50=4.35`

`0.35q+0.50-0.50=4.35-0.50`

`0.35q=3.85`

`(0.35q)/(0.35)=(3.85)/(0.35)`

`q=11`

Therefore, Franchise has 11 quarters.

Upon substituting
`q=11` in equation (1), we will get:

`d=11+5`

`d=16`

Therefore, Franchise has 16 dimes.