Question

Ivan and his little brother made up a game using coins. They flip the coins towards a cup and receive points for every one that makes it in. Ivan starts with 20 points, and his little brother starts with 16 points. Ivan gets 2 points for every successful shot, and his brother, since he is younger, gets 4 points for each successful shot. Eventually, the brothers will have a tied score in the game. How many points will they both have? How many additional shots will each brother have made?

Answer 1

24 points

2 shots

Explanation:

Ivan :

Starting point = 20

Points per success = 2

Brother :

Starting point = 16

Points per success = 4

Let number of successful shots = x

20 + 2x = 16 + 4x

2x - 4x = 16 - 20

-2x = - 4

x = 2

Number of additional shots made = x = 2

Number of points they both have :

20 + 2x = 20 + 2(2) = 20 + 4 = 24 points

16 + 4x = 16 + 4(2) = 16 + 8 = 24 points