Answer:
57.8%
Step-by-step explanation:
Let Eva's score = x
Freya scores 25% more marks than Eva = x + 25%
Fred score = x + 0.25
Let Dominic's score = y
Eva scores 50% more marks than Dominic = 50% + y
Eva's score: x = 0.5 + y ....equation 1
Total marks the three children scored = 140 mark
Eva's score + Fed's score + Dominic's score = 140
x + x + 0.25 + y = 140
2x + y + 0.25 = 140 ...equation 2
Substitute the value of x (equation 1) in equation 2
2(0.5+y) + y + 0.25 + y = 140
1 + 2y + y + 0.25 + y = 140
1.25 + 3y = 140
3y = 140-1.25
3y = 138.25
y = 138.25/3
y = 46.25
Dominic's score = 46.25
Eva's score = x = 0.5 + 46.25 = 46.75
Fred's score = x + 0.25 = 46.75+ 0.25 = 47
Test total =80
Percentage Dominic scoref in the test = (46.25/80) × 100 = 57.8%
