Question

The game will have an option for one or two players. If two players finish a level with the same amount of points, they will enter a bonus round. One way for players to earn points is to collect gems together as a team. Player 1 has 65 points and gains 5 points for every gem collected together, and Player 2 has 80 points and gains 5 points for every gem collected together.

Write an equation to represent the number of gems,x, the players collect together.

Answer 1

The equation to represent the number of gems, x, collected together by the players relates to the increase in each player's points as a result of collecting the gems. Player 1’s total points can be expressed as 65 + 5x, while Player 2's total points as 80 + 5x, where x is the number of gems collected together.

Step-by-step explanation:

To write an equation representing the number of gems, x, that players collect together, we begin with the initial points for each player. Player 1 starts with 65 points and Player 2 starts with 80 points. Since each gem collected together by the team adds 5 points to each player's score, we multiply the number of gems, x, by 5 and then add it to their initial points to find their respective total scores at any time.

Therefore, the equation for Player 1's score would be:
Player 1 Total Points = 65 + 5x

Similarly, the equation for Player 2's score would be:
Player 2 Total Points = 80 + 5x

Since the players are on a team, and we're looking for gems collected together as a team rather than their individual points, these individual equations are not the final answer but lead you to understand how each player's score changes with each gem collected.