Dimes is the coin which is equal to the 0.10 dollar. The number of dimes in the bag is 16.
To find the number of dimes we need to know about dimes.
Dimes is the coin which is equal to the 0.10 dollar. Quarter is the coin which is equal to the 0.25 dollar.
Given information-
The total number of coins bag contains is 37.
The total amount of money in the bag is $6.85.
Let the number of Dimes in the bag is [tex]x[/tex] and the number of quarter in the bag is [tex]y[/tex].
As the the total number of coins bag contains is 37. Thus,
[tex]x+y=37\\[/tex]
Solve the equation for y,
[tex]y=37-x[/tex]
Let the above equation is equation number 1.
As total amount of money in the bag is $6.85. Thus,
[tex]0.10x+0.25y=6.85[/tex]
Put the value of y in the above equation as,
[tex]\begin{aligned}\\0.10x+0.25(37-x)&=6.85\\0.10x+9.25-0.25x&=6.85\\0.15x&=6.85-9.25\\x&=\dfrac{2.4}{0.15} \\x&=16\\\end[/tex]
Hence, the number of dimes in the bag is 16.
Learn more about the dimes and quarter coin here;
https://brainly.com/question/13821441
