Brian scored 1/10 of the points for his basketball team in the state championship game. Joe scored 1/4 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?

Lets get common fractions between 1/10 and 1/4, so we now have the fractions 2/20 and 5/20. After we add them we have 7/20. If 35% (7/20) of the points scored is 21, then total points scored is 60. (21 / .35)

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adioabiola adioabiola · Answer 2 · 2021-10-21T12:46:21+02:00

The equation to represent the situation is 21 = 1/10x + 1/4x and the team scored a total of 60 points.

Given:

let

Total points scored by the team = x

Brian = 1/10 of x

= 1/10x

Joe = 1/4 of x

= 1/4x

Brian and Joe = 21 point

The equation:

Total points Brian and Joe scored = Brian + Joe

21 = 1/10x + 1/4x

21 = (2x + 5x) /20

21 = 7x/20

cross product

21 × 20 = 7x

420 = 7x

divide both sides by 7

x = 420 / 7

x = 60 points

Therefore, the equation to represent the situation is 21 = 1/10x + 1/4x and the team scored a total of 60 points.