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andriy [413]
3 years ago
6

Amy, Doug, and Ginger took a math test. Amy scored 12 points higher than Doug, and Ginger scored twice as many points as Doug. T

he total points the three friends received was 208. How many points did Doug score on the test?
Mathematics
2 answers:
lakkis [162]3 years ago
7 0
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

mafiozo [28]3 years ago
7 0
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.

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