Question

Daniel and Joshua played 65 games of chess with each other. Daniel won four times as much as Joshua.How many more games did Daniel win?

Answer 1

Daniel won 30 more games than Joshua.

Step-by-step explanation:

Let's say Daniel won X times. According to the problem, Daniel won four times as much as Joshua, so Joshua won X/4 times.

We know that the total number of games played is 65. Therefore:

1. Daniel won X games
2. Joshua won X/4 games

The total number of games won by both players is X + X/4. We can set up an equation based on this information:

X + X/4 = 65

Solving this equation, we find that X = 40. This means Daniel won 40 games, and Joshua won 40/4 = 10 games.

To find out how many more games Daniel won, we subtract Joshua's wins from Daniel's wins:

Daniel's wins - Joshua's wins = 40 - 10 = 30

Therefore, Daniel won 30 more games than Joshua.