Reid and Maria both play soccer. This season, Reid scored 4 less than twice the number of goals that Maria scored. The difference in the number of goals they scored was 6. How many goals did each of them score?
r = 2m-4
r-m = 6
(2m-4)-m = 6
2m - 4 - m = 6
m = 10
so, r = 16
Let's denote the number of goals Maria scored as x. According to the information given, Reid scored 4 less than twice the number of goals Maria scored. This can be expressed as 2x - 4.
The difference in the number of goals they scored was 6, which means that Reid scored 6 more goals than Maria. So, we can set up the equation: (2x - 4) - x = 6.
Now, let's solve the equation to find the value of x:
2x - 4 - x = 6
x - 4 = 6
x = 10
Therefore, Maria scored 10 goals.
To find Reid's score, we can substitute the value of x into the expression for Reid's goals: 2x - 4.
Reid's goals = 2(10) - 4 = 20 - 4 = 16.
So, Reid scored 16 goals.