00:01
Okay, so for this problem, we're trying to figure out how many marbles or how many items two different people have to sell in order to get to a certain amount.
00:13
Let's start with what we know.
00:15
So we have two people, and it says that the total number of marbles that needs to be sold is 113.
00:23
And we know that one person has a certain amount more than the other person.
00:28
So if we start with a person with smaller amount of marbles, let's just define that as x equals number of person one's marbles.
00:41
And we know that the other person has to sell three times plus one, times or three times plus one the number of marbles that person one has.
00:52
So if we take that same number of x, we know that it's three times the number of marbles the first person has, plus one other marble, and that's the number of marbles that person two has to sell.
01:08
And now we're left with a simple algebraic problem to solve for x.
01:12
So we can set this up.
01:14
We know that the number of marbles the first person has to sell, plus the number of marbles that the second person has to sell, 3x plus 1, is equal to 113 overall.
01:25
And now we can go about combining terms.
01:28
So on the left -hand side, we then have 4x...