Answer: There are 15 nickles and 20 dimes.
Step-by-step explanation:
Since we have given that
Let the number of nickles be 'x'
Let the number of dimes be '2x-10'.
Total amount = $2.75
According to question, we get that
[tex]0.1(2x-10)+0.05x=2.75\\\\0.2x-1+0.05x=2.75\\\\0.25x=2.75+1\\\\0.25x=3.75\\\\x=\dfrac{3.75}{0.25}\\\\x=15[/tex]
Hence, there are 15 nickles and [tex]2x-10=2(15)-10=30-10=20[/tex] dimes.
Therefore, there are 15 nickles and 20 dimes.
