In a basketball game, the number of points scored by the Miners was
equal to 20 less than twice their opponent's score. The total number of
points scored was 127. What was the total score?
Answers
Answer:
The miners scored 78 points.
Explanation:
Let's set up an equation.
Miners: m
Opponent: x
m=2x−20
m+x=127
The first equation represents the number of points scored by the Miners with regards to the number of points scored by the opponent. The second equation shows the total amount of points scored is made up of the points scored by each team.
We've just created a system of equations. Let's solve for each variable and identify how many points were scored by the Miners.
First, plug in
2x−20 for m in the second equation.
(2x−20)+x=127
Solve for x .
3x−20=127
3x=147
x=49
We've determined that the opposing team ( x ) scored 49 out of the total 127 points scored. Now we must identify the amount of points the Miners scored.
Plug in 49for x in the second equation, and solve for m .
m+(49)=127
m=78
The Miners scored 78 total points.