Final answer:
The money bag contains 92 quarters, 92 dimes, and 92 nickels, each contributing equally to the total of $36.80.
Step-by-step explanation:
To solve the problem of determining how many quarters, dimes, and nickels are in a money bag totaling $36.80, we first need to express the value of each coin type in terms of dollars:
- A quarter is worth $0.25.
- A dime is worth $0.10.
- A nickel is worth $0.05.
If we let the number of each coin type be x, we can set up an equation for the total value:
0.25x + 0.10x + 0.05x = 36.80
Combining like terms gives us:
0.40x = 36.80
Dividing both sides of the equation by 0.40 gives us the number of each coin type:
x = 36.80 / 0.40
x = 92
So, there are 92 quarters, 92 dimes, and 92 nickels in the money bag.