00:01
Okay, so to solve this problem, we need to set up a system of equations.
00:06
First, we're going to define our variables.
00:08
I am going to use n for nickels and then d for dimes.
00:11
So the first thing we know is that there are 40 total coins.
00:15
So i'm going to set up an equation just adding up the total coins, which would be the amount of nickels, n plus the amount of d is going to equal 40 because there's 40 total coins.
00:26
Now our second equation, we're going to set up using the, essentially the money values of each of the coins, adding up to make the total monetary value of these 40 coins.
00:40
So for every nickel, that's 5 cents.
00:43
So it's going to be 0 .05n plus every dime is 10 cents, so 0 .10d is equal to 3 .85 .0 .0.
00:56
Because we know we have a total of $3 .85.
01:00
Now, in order to solve this equation, the easiest method is probably to use elimination.
01:04
So what i'm going to do is i'm going to take this second equation here...