Answer:
Trent has 6 quarters and 5 dimes.
Step-by-step explanation:
Consider the provided information.
Let q = Number of quarters
d = Number of dimes.
Trent has 11 quarters and dimes.
[tex]q+d=11[/tex]
[tex]q=11-d[/tex]
The worth of a quarter is 25 cents.
The worth of a dimes is 10 cents
[tex]25q+10d=200[/tex]
Substitute the value of q in above equation.
[tex]25(11-d)+10d=200[/tex]
[tex]275-25d+10d=200[/tex]
[tex]15d=75[/tex]
[tex]d=5[/tex]
Substitute the value of d in [tex]q=11-d[/tex]
[tex]q=11-5[/tex]
[tex]q=6[/tex]
Hence, Trent has 6 quarters and 5 dimes.
