Question

Jack and jill are playing a card game. they are 20 rounds into the game and jack has only won 30% of the rounds. if jack wins the rest of the rounds, how many more rounds, x, must they play so that jack beats jill by winning 60% of the rounds?

a. 30 rounds
b. 10 rounds
c. 20 rounds
d. 15 rounds

Answer 1

Jack needs to play an additional 15 rounds so that he beats Jill by winning 60% of the rounds.

Step-by-step explanation:

To find out how many more rounds Jack needs to play so that he beats Jill by winning 60% of the rounds, we can set up an equation based on the given information.

Since Jack has only won 30% of the rounds so far, this means that he has won 0.3*20 = 6 rounds.

To win 60% of the total rounds, Jack needs to win 0.6*(20+x) rounds, where x is the number of additional rounds he needs to play.

Since Jack has already won 6 rounds, he needs to win 0.6*(20+x) - 6 rounds more to reach 60% of the total rounds.

Setting up an equation: 0.6*(20+x) - 6 = x

Simplifying the equation: 12 + 0.6x - 6 = x

Bringing like terms together: 0.4x = 6

Dividing by 0.4: x = 15

Therefore, Jack needs to play an additional 15 rounds (option d) in order to beat Jill by winning 60% of the rounds.