For this problem, we need to find 2 numbers who have a sum of -13 and when multiplied have a product of -30. Since the product of the two numbers is negative, one of the factors has to be negative.
We will start by finding factors of 30.
Factors are two numbers that when multiplied together equal 30.
The factors of 30: {1,2,3,5,6,10,15,30}
Now, we will find a pair of factors that will add up to -13. Remember that one of the factors will be negative.
Let's start off with our first pair of factors: 1 and 30.
1+30=31 -1+30=29 1-30=-29
As we can see, this pair of factors is not a solution to the problem.
Let's start off with the second pair of factors: 2 and 15
If Herman has been put on the diet for 4 weeks and has lost the same amount of weight each week you could divide 412 by 4 and get 103, not sure about the simplified mixed number though. Sorry.