Taylor's scored 22 points
Erin scored 18 points
Nya scored 54 points
Aaron scored 64 points
Step-by-step explanation:
Let Taylor's point = x
Erin scored 4 less points than Taylor:
Erin's score = x - 4
Nya scored three times as many points as Erin:
Nya's score = 3(x - 4)
Aaron scored 10 more points than Nya:
Aaron's score = Nya's score + 10
= 3(x - 4) + 10
The total score of the four friend = 158 points
Taylor's score + Erin's score + Nya's score + Aaron's score = 158
x + (x - 4) + 3(x -4) + 3(x-4) + 10 = 158
Expand the parenthesis:
x + x -4 + 3x - 12 + 3x - 12 + 10 = 158
collect like terms:
x + x + 3x + 3x - 4 - 12 - 12 + 10 = 158
8x - 18 = 158
8x = 158 + 18
8x = 176
Divide both sides by 8:
8x/8 = 176/8
x = 22
Taylor's scored 22 points
Erin scored : x-4 = 22- 4 = 18 points
Nya scored : 3(x-4) = 3(22-4) = 3(18) = 54 points
Aaron scored: 3(x-4) + 10 = 54 + 10 = 64 points