An attendant collected 45 coins from a parking meter. the value of the coins was $7.25, and there were 5 more quarters than nickels. which system models this situation?

a.) n+5=q and .05n +.25q=7.25
b.) q+5=n and .05n +.25q=7.25
c.) n+5=q and n+q=7.25
d.) n+5=q and 5n+2q=7.25

Respuesta :

Answer:

a.) [tex]n+5=q[/tex] and [tex].05n +.25q=7.25[/tex]

Step-by-step explanation:

1.  You have that there were 5 more quarters ([tex]q[/tex]) than nickels ([tex]n[/tex]. Therefore, you can express it as below:

[tex]n+5=q[/tex]

2. Keeping on mind that the value of the coins was $7.25 and that a quarter is 25 cents and a nickel is 5 cents, you can write the following expression:

[tex].05n +.25q=7.25[/tex]

3. Therefore, the answer is the option a.