Question

While playing a game, Rakesh lost 50 points in the first game, 30 points in the second game and 45 points in the third game. Also, he gained 60 points in the fourth game and 95 points in the fifth game. If he had 200 points to start with, then how many points does he have now?

Answer 1

Hint: This is a simple word problem and all the points which are lost should be taken as negative. The points which are gained should be taken as positive. Use the addition and subtraction operations to find the required solution.

Complete step-by-step answer:
In a game, there are points which are lost and gained.
Rakesh lost 50 points in the first game. He again lost 30 points in the second game. Then in the third game, he lost 45 points. The total points Rakesh lost in the first three games is $ 50 + 30 + 45 = 125 $ .
Rakesh gained 60 points in the fourth game. Then in the fifth game, he gained 95 points. So, the total points gained by him in the fourth and fifth game together is $ 60 + 95 = 155 $ .
Rakesh had 200 points at the start of the game.
Total points gained is equal to the sum of the points gained in forth and fifth game with the points Rakesh had when he started the game.
So, the total points are given by $ 200 + 155 = 355 $ .
But Rakesh has lost 125 points in the first, second and third game.
The total points he has can be calculated by subtracting the points lost from the points which Rakesh has gained.
The total points Rakesh has now is given by $ 355 - 125 = 230 $

Therefore, Rakesh have 230 points.

Note: The language of the question should be understood in a clear manner so that conditions are well expressed in terms of mathematical symbols. It is important to read the word problem thoughtfully and use addition, subtraction operations to reach the solution.