In a test Freya scores 25% more marks than Eva. Eva scores 50% more marks than Dominic. In total the three children score 140 marks. The test if out of 80. What percentage does Dominic score in the test?
Freya = 5/4 Eva
Eva = 3/2 Dominic
So, if Dominic scored d points, then
d + 3/2 d + 5/4 * 3/2 d = 140
35/8 d = 140
d = 32
32/80 = 2/5 = 40%
To find out the percentage Dominic scores in the test, we need to determine the number of marks he scored first. Let's break down the given information:
1. Freya scores 25% more marks than Eva: Let's say Eva scored x marks. Freya scored 25% more marks than Eva, which is 1.25x marks.
2. Eva scores 50% more marks than Dominic: This means Eva scored 1.50 * Dominic's marks, or 1.5 * y marks.
3. In total, the three children score 140 marks: The sum of Dominic's, Eva's, and Freya's marks is equal to 140.
Now, let's calculate the value of Dominic's marks:
Dominic's marks + Eva's marks + Freya's marks = 140
y + 1.5y + 1.25x = 140
2.5y + 1.25x = 140
To further solve the equation, we need more information about the relationship between x (Eva's marks) and y (Dominic's marks). Unfortunately, the given information does not provide a direct relationship between the two. Therefore, we cannot determine Dominic's exact score or percentage in the test.