nine total points below average , so nine total above
Don scored four points above average
... Cara outscored him by one point ... 29
The four members of a team are comparing scores on the Individual
Test. Amy scored 3 points less and Brad scored 6 points less than the average of the team members, while Cara scored 5 points more than the average. Don scored 28 points. What was the score of the highest-scoring member of this team?
2 answers
x = average
A = Amy's points = x - 3
B = Brad's points = x - 6
C = Cara's points = x + 5
D = Don 's points = 28
Average:
x = ( A + B + C + D ) / 4
Put members of a team points in this equation.
x = ( x - 3 + x - 6 + x + 5 + 28 ) / 4
x = ( 3 x + 24 ) / 4
Multiply both sides by 4
4 x = 3 x + 24
Subtract 3 x to both sides
4 x - 3 x = 3 x + 24 - 3 x
x = 24
A = Amy's points = x - 3 = 24 - 3 = 21
B = Brad's points = x - 6 = 24 - 6 = 18
C = Cara's points = x + 5 = 24 + 5 = 29
D = Don 's points = 28
Cara scored most points, 29.
A = Amy's points = x - 3
B = Brad's points = x - 6
C = Cara's points = x + 5
D = Don 's points = 28
Average:
x = ( A + B + C + D ) / 4
Put members of a team points in this equation.
x = ( x - 3 + x - 6 + x + 5 + 28 ) / 4
x = ( 3 x + 24 ) / 4
Multiply both sides by 4
4 x = 3 x + 24
Subtract 3 x to both sides
4 x - 3 x = 3 x + 24 - 3 x
x = 24
A = Amy's points = x - 3 = 24 - 3 = 21
B = Brad's points = x - 6 = 24 - 6 = 18
C = Cara's points = x + 5 = 24 + 5 = 29
D = Don 's points = 28
Cara scored most points, 29.