Question

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?

Answer 1

nine total points below average , so nine total above

Don scored four points above average
... Cara outscored him by one point ... 29

Answer 2

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.