Respuesta :
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:
[tex]d=q+5...(1)[/tex]
We are also told that Francine has $4.35 in dimes and quarters. We can represent this information in an equation as:
[tex]0.10d+0.25q=4.35...(2)[/tex]
Now, we will substitution method to solve linear equations. Upon substituting equation (1) in equation (2), we will get:
[tex]0.10(q+5)+0.25q=4.35[/tex]
[tex]0.10q+0.50+0.25q=4.35[/tex]
[tex]0.35q+0.50=4.35[/tex]
[tex]0.35q+0.50-0.50=4.35-0.50[/tex]
[tex]0.35q=3.85[/tex]
[tex]\frac{0.35q}{0.35}=\frac{3.85}{0.35}[/tex]
[tex]q=11[/tex]
Therefore, Franchise has 11 quarters.
Upon substituting [tex]q=11[/tex] in equation (1), we will get:
[tex]d=11+5[/tex]
[tex]d=16[/tex]
Therefore, Franchise has 16 dimes.
