Question

Which situation is best represented by the following equation?

2x + x = 21
A) Lilly and Paul played video games for 3x hours over the weekend. The amount of time Lilly played can be represented by x. The amount of time Paul played was 21 hours. What is x, the amount of time played by Lilly?
B) Lilly and Paul played video games for a total of 21 hours over the weekend. The amount of time Lilly played can be represented by x. The amount of time Paul played is 2 times the amount Lilly played. What is x, the amount of time played by Lilly?
C) Lilly and Paul played video games for a total 21 hours over the weekend. The amount of time Lilly played can be represented by x. The amount of time Paul played is 2 more hours than the amount Lilly played. What is x, the amount of time played by Lilly?
D) Lilly and Paul played video games for a total of 21 hours over the weekend. The amount of time Lilly played can be represented by x. The amount of time Paul played is 1 more hour than the amount Lilly played. What is x, the amount of time played by Lilly?

Answer 1

Solution :-

The correct answer of this question is option (B).


Paul and Lilly played video game for 21 hours over the weekend. 

And,

Amount of time spent playing video game by Lilly is represented by x.

So, Lilly played for x hours.

The amount of time Paul played the video game is twice the amount Lilly played. 

So, amount of time spent playing video game by Paul will be 2x.

Total time spent playing video game by both = 21 hours 

Equation

2x + x = 21

3x = 21

x = 21/3

x = 7

So, Lilly played video game for 7 hours and Paul played video game for 14 hours.

Answer.

Answer 2

Answer:

B) Lilly and Paul played video games for a total of 21 hours over the weekend. The amount of time Lilly played can be represented by x. The amount of time Paul played is 2 times the amount Lilly played. What is x, the amount of time played by Lilly?

Step-by-step explanation: