00:01
For this question, we have to first determine how many of each coin that we have.
00:08
So given the masses of the coins in kilograms, so we have to convert it to grams because that's what we need the answer to be in.
00:17
So 1 ,000 grams are 1 kilogram .000.
00:20
In order to convert from kilograms to grams, multiply by 1 ,000, so we move the decimal point three places to the right.
00:26
So after we've done this version, we get this as the masses of the different coins.
00:34
Now, we want to determine a number of each of the coins that we have, because that's going to determine how many sets we can make.
00:42
So we're just going to take our mass and grams are divided by mass and grams of one of the coins, and then we're just going to drop the decimal portion because we can't have a, a decimal portion of a coin.
01:00
So for the first one, we get 6 ,000.
01:08
Then for the next one, we get 2 ,100.
01:13
And then for the next one, we're going to drop what's ever after the decimal place.
01:19
So if you type this into the calculator, you'll see that we get 3 ,449 .91 something dimes.
01:29
But we can't have 0 .91 of a dime, so we're just going to drop that part.
01:32
We get 3 ,449 times.
01:36
Also keep in mind that if these are counted numbers, they don't really count for significant figures because counted numbers don't really matter with significant figures.
01:45
So now we have to determine the number of sets we can make.
01:48
So one of the coins is going to limit the number of sets we're going to make.
01:52
So each set consists of three quarters, one nickel, and one dime.
01:58
So we divide the number of each coin we have by the number of coins of that coin we need in one set.
02:08
So we see that with the 6 ,000 quarters, we can make 2 ,000 sets...