33.6k views
1 vote
Amos scored 100 points while playing 3 rounds of a game.PointsRound 130Round 225Round 3?Total100How many points did he score in round 3?Complete the steps to solve the problem.1. What do you need to solve this problem? Choose a variable to represent this unknown value. 2. Using the variable you chose, write an equation to represent this situation. (Hint: You may want to put the number of points in each round on one side and the total number of points on the other.) 3. Solve this equation to find how many points Amos scored in round 3. Show your work.

1 Answer

7 votes

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:


30+25+x=100

(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:


55+x=100

b. Subtract 55 from both sides of the equation (this is the subtraction property of equality.):


55-55+x=100-55\Rightarrow x=45

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:


30+25+45=100\Rightarrow100=100

This is a TRUE result. Then, our value for x is correct.

User Doodad
by
3.9k points