Problema Solution
Students taking the SAT receive a critical reading​ score, a mathematics​ score, and a writing score. The average total score of the students from the class of a certain year was 1496. The average math score exceeded the average reading score by 18 points. The average math score was 470 points less than the sum of the average reading and writing scores. Find the average score on each part of the test.
Answer provided by our tutors
Let
x = the average math score
y = the average reading score
z = the average writing score
(1/3)(x + y + z) = 1496
x = 18 + y
x = (y + z) - 470
........
click here to see the system of equations solved for x, y and z
........
x = 2009
y = 1991
z = 488
The average math score was 2009, the average reading score was 1991 and the average writing score was 488.