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?
So each tip has to be some even number of cents. So divide 8.41 by the number of folks, and see if you can make that tip with nine coins. Now, notice the ones digit in the total is 1, so to divide evenly, the number of persons willhave to be X3, X7, or X9. So try the number of persons as 3, 7, 9, 13, 17, 19, 23, 27, and bingo, 29, which works to give an even number of cents per person (8.41/29=29 cents each)
so the nine coins have to make 29 cents,
You can figure out what nine coins.
group tipeach
12 friends, 70cents each. 5 dimes and 4 nickles. 9 coins total
thank you, but how did u get that
Whatever the number of friends is, it has to divide into $8.41 (i.e. 841 cents) without a remainder - so you need to find out what integers (because there can only be an integer number of friends) divide into 841. As Bob showed, that's easy: you can just do it by trial and error. You'll find that 29 divides into 841 cents to give 29 cents each. It's the only possible answer because 29 is a prime number, which means there's no other possible factorization. So... the tip is 29 cents, and each person gave that in just nine coins. I'm not familiar enough with American coinage to know how that could be done because I'm not American - but you are, so I'm afraid you'll have to do this part yourself!
ohhhhhhhhhh, thank you!
What about 7 friends?
To solve this problem, we need to find out the number of dimes the driver received. Let's go step by step:
1. Let's assume the number of dimes the driver received is 'x'. Since the travelers used only nine coins in total, the remaining coins must be nickels and pennies.
2. The value of x dimes can be calculated as 0.10x dollars.
3. Now, we can determine the remaining coins. Since the total tip was $8.41, the value of the remaining coins can be calculated as $8.41 - 0.10x dollars.
4. From there, we know that the remaining coins consist of nickels (worth 0.05 dollars) and pennies (worth 0.01 dollars).
5. To create an equation, we need to determine the number of nickels and pennies separately. Let's assume the number of nickels is 'y' and the number of pennies is 'z'.
6. The value of y nickels is 0.05y dollars, and the value of z pennies is 0.01z dollars.
7. We can now create an equation based on the given information: 0.05y + 0.01z = $8.41 - 0.10x.
8. To solve the equation, we need to find values for 'x', 'y', and 'z' that satisfy both conditions - the number of dimes and the remaining coins' total value.
9. The equation might have multiple solutions, so we need to find a combination of 'x', 'y', and 'z' that fulfills the given problem's conditions.
Please provide the values for 'y' and 'z' (the number of nickels and pennies) if available, so we can proceed with solving the equation and determining the number of dimes (x) the driver received.