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 do

Question

4 years ago

9

es she have?

2 answers:

Leya [2.2K] · Answer 1 · 2021-11-29T16:25:28+03:00

6 0

344676 I hope that helps

stellarik [79] · Answer 2 · 2021-11-29T18:24:57+03:00

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:

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

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:

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

$0.10q+0.50+0.25q=4.35$

$0.35q+0.50=4.35$

$0.35q+0.50-0.50=4.35-0.50$

$0.35q=3.85$

$\frac{0.35q}{0.35}=\frac{3.85}{0.35}$

$q=11$

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.