I'm not sure where I got this problem from, but I have difficulty with these type of fraction problems.
A student took 12 tests. The student's average (arithmetic mean) on the first 4 tests was 6/7 of the student's average on the final 8 tests. What fraction of the total number of points that the student scored on all 12 tests was the total number of points that the student scored on the first 4 tests?
a. 3/20
b. 1/4
c. 3/10
d. 1/3
e. 3/8
Any tips on how to best approach & solve these type of problems?
I tried to set it up as follows:
(sum for first 4 test scores) + (sum of remaining 8 test scores) / 12 = avg of all 12 test scores.
= 6/7x + x / 12 = average of all 12 test scores.
I tried to use a substitution of x=70, but I got 60/130 = 6/13.
Maybe I'm misunderstanding the question stem...
Thanks!
A student took 12 tests. The student's average (arithmetic mean) on the first 4 tests was 6/7 of the student's average on the final 8 tests. What fraction of the total number of points that the student scored on all 12 tests was the total number of points that the student scored on the first 4 tests?
a. 3/20
b. 1/4
c. 3/10
d. 1/3
e. 3/8
Any tips on how to best approach & solve these type of problems?
I tried to set it up as follows:
(sum for first 4 test scores) + (sum of remaining 8 test scores) / 12 = avg of all 12 test scores.
= 6/7x + x / 12 = average of all 12 test scores.
I tried to use a substitution of x=70, but I got 60/130 = 6/13.
Maybe I'm misunderstanding the question stem...
Thanks!
