A group of friends took a bus trip. Each traveler gave the bus driver a tip using the same nine coins. The total tip was $8.41. How many nickels did the driver receive?
How many friends made the trip? In this case we can decide by loking for intger factors of 841. It cannot be a prime number if the tips were the same..
If each person gave the same tip, there must have been 29 of them, because that is the only integer factor of 841. The tip would be 0.29 per passenger.
Five nickels and 4 pennies can form 29 cents. That is the only way to do it with nine coins.
Therefore the bus driver ends up with 29x5 = 145 nickels.
To solve this problem, we need to find the number of nickels among the nine coins given as a tip.
Let's assume the number of nickels is 'x'.
If 'x' represents the number of nickels, then the number of non-nickels (other coins) would be 9 - x, since there are a total of nine coins.
Now, we know that each nickel is worth 5 cents, so the total value of the nickels would be 5x cents.
Similarly, the total value of the non-nickels (other coins) would be the difference between the total tip given ($8.41) and the value of the nickels (5x cents).
The value of the non-nickels would be represented as (9 - x) cents.
Therefore, we can set up the equation:
5x + (9 - x) = 841
Simplifying the equation, we have:
5x + 9 - x = 841
4x + 9 = 841
4x = 841 - 9
4x = 832
x = 832 / 4
x = 208
Therefore, the bus driver received 208 nickels as a tip.