Question

Brian scored one tenth of the points for his basketball team in the state championship game. Joe scored one fourth of the points. Together they scored 21 points. Write an equation to represent the situation. What was the total number of points the team​ scored?

Answer 1

x/10 + x/4 = 21 /*40

4x + 10x = 840

14x = 840

x = 60 = total number of points the team scored

Answer 2

Total number of points in game is 60.

Explanation:

Information given in the question:

Let x be the total scored in the game.

Contribution of Brian in the game =
`\displaystyle(x)/(10)`

Contribution of Joe in the game =
`\displaystyle(x)/(4)`

Total contribution of Brian and Joe in the game = 21

According to the question, the following equation can be used to represent the situation:

`\displaystyle(x)/(10) + \displaystyle(x)/(4) = 21`

`\displaystyle(7x)/(20) = 21\\\\ 7x = 20* 21\\x = 60`

Thus, the total score of the game was 60.