To answer this question, we need to take into account the following information:
Amos scored 100 points.
Amos played 3 rounds of a game.
Round 1 ---> 30 points.
Round 2 ---> 25 points.
Round 3 ---> x?
Total = 100.
We can follow the next steps to answer this question:
1. We need to find the value of the third round in Amos' game. We can choose a variable, and this variable is x.
2. We can represent this situation using the following equation:
(We followed the hint: put the number of points in each round on one side and a total number of points on the other.)
3. Now, we can solve this equation as follows:
a. Sum 30 + 25 = 55
Now we have:
b. Subtract 55 from both sides of the equation (this is the subtraction property of equality.):
Therefore, the value for the variable x is x = 45. Amos scored 45 points in Round 3.
We need to check this to find if the result is correct.
Using the original equation, we have:
This is a TRUE result. Then, our value for x is correct.