What is the greatest amount of money you could leave for a tip if...

1.no paper money is left
2.with the coins tat are left, change cannot be ;made for a quarter or for a dollar.

I believe the answer to be $0.99 made up of 3 quarters, 2 dimes and 4 pennies. Alternately 1 dime and 2 nickels or 4 nickels could be substituted for the 2 dimes.

My 5th grade daughter's class under guidance of her teacher however came up with $1.69 made up of 3 quarters, 9 dimes and 4 pennies.

I tried to explain to my daughter that I did not believe this to be correct as 5 of the dimes and 2 of thequarters could be exchanged for a dollar.

Either the question was not worded correctly or the teacher's guide book was incorrect and the teacher did not bother to work out the problem herself.

Has anyone else seen this problem? Does anyone know the guidebook answer?
Am I getting old and no longer know math?

I reviewed my math again and now believe the answer to be $1.39 made up of 3 quarters, 4 dimes and 4 pennies. Exact change for a dollar or a quarter can not be given with these coins.

Sorry, My revised answer was supposed to read $1.19 not $1.39!

Why isn't here a nickel considered if the answer is $1.19

I believe it should be $0.99.

3 quarters
2 dimes
4 pennies

To determine the greatest amount of money you could leave for a tip under the given conditions, let's break down the information given:

1. No paper money is left:
This means that we can only use coins for the tip.

2. Change cannot be made for a quarter or a dollar:
This implies we can only use coins worth less than a quarter or a dollar, as we cannot give change for these larger denominations.

To find the largest possible tip, we need to consider the highest-value coins that we cannot make change for. Since we cannot make change for a quarter or a dollar, the remaining options are the coins worth less than a quarter: dimes (worth 10 cents), nickels (worth 5 cents), and pennies (worth 1 cent).

To maximize the tip amount, we need to consider the combination of these coins that yields the largest value without exceeding a quarter or a dollar.

Let's analyze the possibilities:

1. The largest coin we can use is a dime, worth 10 cents. If we use only dimes, the maximum tip we can leave is 10 cents.

2. If we add nickels to the mix, worth 5 cents each, the maximum tip becomes 15 cents (one dime and one nickel).

3. If we also include pennies, worth 1 cent each, the maximum tip becomes 19 cents (one dime, one nickel, and four pennies).

Therefore, the greatest amount of money you could leave for a tip is 19 cents, using one dime, one nickel, and four pennies.

Note: It's important to consider that in practical situations, leaving just 19 cents as a tip may not be customary, and it's generally expected to leave a tip of a higher denomination (e.g., more than a dollar) to express appreciation.