Respuesta :
Answer:
5 quarters.
Step-by-step explanation:
Let d represent number of dimes and q represent number of quarters.
We have been given that Jenny has a total of 17 dimes and quarters in her piggy bank. We can represent this information in an equation as:
[tex]d+q=17...(1)[/tex]
We are also told that value of all coins is $2.45. We can represent this information in an equation as:
[tex]0.10d+0.25q=2.45...(2)[/tex]
From equation (1), we will get:
[tex]d=17-q[/tex]
Upon substituting this value in equation (2), we will get:
[tex]0.10(17-q)+0.25q=2.45[/tex]
[tex]1.7-0.10q+0.25q=2.45[/tex]
[tex]1.7+0.15q=2.45[/tex]
[tex]1.7-1.7+0.15q=2.45-1.7[/tex]
[tex]0.15q=0.75[/tex]
[tex]\frac{0.15q}{0.15}=\frac{0.75}{0.15}[/tex]
[tex]q=5[/tex]
Therefore, Jenny had 5 quarters.
