Question

In a basketball game, the number of points scored by the Miners was equal to 20 less than their opponent's score. The total number of points was 127. What was the total score? Identify a variable and set up an equation

Answer 1

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 was 127. What was the total score?

Let

x--------> the number of points scored by the Miners

y------> the number of points scored by the opponents

we know that

x+y=127---------> equation 1

x=2y-20-------> equation 2

substitute equation 2 in equation 1

[2y-20]+y=127

3y=127+20

3y=147

y=147/3

y=49 points

find the value of x

x=2y-20

x=2*49-20-----------> x=78 points

therefore

the answer is

The total score is

Miners 78 points

Opponents 49 points