VJesus12 wrote: ↑Wed Jan 12, 2022 10:22 am
In a certain history class of 17 juniors and seniors, each junior has written 2 book reports and each senior has written 3 book reports. If the 17 students have written a total of 44 book reports, how many juniors are in the class?
A. 7
B. 8
C. 9
D. 10
E. 11
Answer:
A
Source: Official Guide
Here's a boring algebraic approach:
In a certain history class of 17 juniors and seniors...
Since the question asks us to find the number of juniors, let's let
x = the number of juniors in the class
Since there are only juniors and seniors, and since there are 17 students in total, we know that
17 - x = the number of seniors in the class
Each junior has written 2 book reports and each senior has written 3 book reports. The 17 students have written a total of 44 book reports
Total number of books written by juniors =
2x
Total number of books written by seniors =
3(17 - x)
So we can write:
2x +
3(17 - x) = 44
Expand: 2x + 51 - 3x = 44
Simplify: -x + 51 = 44
Solve: x = 7
Answer: A
Cheers,
Brent
