Final answer:
The bag contains $5.70 in total.
Step-by-step explanation:
To find out how much money the bag contains, we need to calculate the value of each type of coin and then add them together. Let's break down the information given:
- The bag contains 50 coins in total.
- 10% of the coins are pennies, so there are 10/100 * 50 = 5 pennies.
- 40% of the coins are dimes, so there are 40/100 * 50 = 20 dimes.
- The number of nickels is 8 more than the number of pennies, so there are 5 pennies + 8 = 13 nickels.
- The remaining coins must be quarters, so there are 50 coins - 5 pennies - 20 dimes - 13 nickels = 12 quarters.
Now, let's calculate the value of each type of coin:
- Pennies: 5 pennies * $0.01 = $0.05
- Nickels: 13 nickels * $0.05 = $0.65
- Dimes: 20 dimes * $0.10 = $2.00
- Quarters: 12 quarters * $0.25 = $3.00
Finally, we add up the values: $0.05 + $0.65 + $2.00 + $3.00 = $5.70
Therefore, the bag contains $5.70 in total.