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 dimes did the driver receive?
How many travelers were there? Divide that number into the total tip to see what each traveler gave. Then see how many dimes are needed to get that amount using 9 coins. Multiply the number of dimes by the number of travelers.
I hope this helps. Thanks for asking.
To find out how many dimes the driver received, we need to set up an algebraic equation based on the information given.
Let's assume the number of dimes the driver received is 'x'. Since each traveler gave the same nine coins, we can represent the number of other coins collectively as '9 - x' (since there are 9 coins in total).
The value of each dime is $0.10, so the total value of the dimes would be '0.10x'. Similarly, the value of each non-dime coin is $0.01, so the total value of the non-dime coins would be '0.01(9 - x)'.
According to the problem, the total tip given by the travelers is $8.41. So we can set up the equation:
0.10x + 0.01(9 - x) = 8.41
To solve this equation, we can simplify it:
0.10x + 0.09 - 0.01x = 8.41
0.10x - 0.01x + 0.09 = 8.41
0.09x + 0.09 = 8.41
0.09x = 8.41 - 0.09
0.09x = 8.32
Now, we can solve for 'x' by dividing both sides of the equation by 0.09:
x = 8.32 / 0.09
x ≈ 92.44
Since 'x' represents the number of dimes, we need to round it to the nearest whole number. Thus, the driver received approximately 92 dimes.