Bunuel
A student’s average test score in algebra is 88 after eight tests have been taken. When the teacher drops the student’s two lowest test scores, the student’s average score increases to 92. What is the average score of the two tests that were dropped?
A. 72
B. 74
C. 75
D. 76
E. 78
Solution:We can let x = the average of his two lowest test scores and create the equation:
2x + 6(92) = 8(88)
2x + 552 = 704
2x = 152
x = 76
Alternate Solution:
Since average = sum/number, we see that average x number = sum. Thus, the sum of all scores before the two tests were dropped was 88 x 8 = 704.
After the two lowest test scores were dropped, the average of the remaining 6 scores was 92. Thus, we see that the sum of these 6 scores was 92 x 6 = 552.
The difference of the two sums is 704 - 552 = 152, and this is the sum of the two lowest scores. Thus, the average of these two scores is 152 / 2 = 76.
Answer: D