Question

Amy, Doug, and Ginger took a math test. Amy scored 12 points higher than Doug, and Ginger scored twice as many points as Doug. The total points the three friends received was 208. How many points did Doug score on the test?

Answer 1

The equation is provided below:

x = Doug's points
12 + x = Amy's score
2x = Ginger's score
208 = total points of Doug, Amy and Ginger.

x + ( 12 + x ) + 2x = 208
x + 12 + x + 2x = 208
x + x + 2x = 208 - 12
4x = 196
4x / 4 = 196 / 4
x = 49 (Doug's Score)

Amy's Score:
12 + ( 49 ) = 61

Ginger's Score:
2 * ( 49 ) = 98


49 (Doug's) + 61 (Amy's) + 98 (Ginger's) = 208.

The correct answer for Doug's score is 49.

Answer 2

Amy(A): D + 12
Doug(D):D
Ginger(G):2D
SumOfAll(S)=208 : Total points / sum of all three friends

(D+12)+D+2D=208
D+12+3D=208 - transpose 12 to the right side
4D=208-12
4D = 196 - divide both sides by 4
D=49
Therefore, Doug scored 49