PCAT Quantitative Reasoning – Newspaper Article Rates
- Apr 19, 2018
- PCAT Question of the Day
Interns at a local newspaper are paid a certain rate for each advice column and political article they publish. Lauren is paid $5710 over the course of her internship for 10 advice columns and 25 political articles. Greg is paid $2490 for 4 opinion pieces and 11 political articles. If Joy exclusively writes political articles, how many will she need to publish to make at least as much as Greg?
Click for Explanation
B is correct. First, let’s translate this word problem into mathematical expressions:
L = 10A + 25P = 5710
G = 4A + 11P = 2490
Now let’s isolate A (number of advice columns) and substitute that value back in to solve for P (number of political articles):
10A = 5710 – 25P
A = 571 – 2.5P
4(571 – 2.5P) + 11P = 2490
2284 – 10P + 11P = 2490
P = $206
Therefore, each political article is worth $206. To find out how many articles Joy must publish to make at least as much as Greg, let’s divide $2490 by $206. Remember, we want to round up to the next whole integer.
J = 206x ≥ 2490
x ≥ 12.1
x = 13
Search the Blog
Free ConsultationSchedule Now
MCAT Blog How to Review MCAT Full-Lengths
Free MCAT Practice AccountNeed great MCAT practice?
Get the most representative MCAT practice possible when you sign up for our free MCAT Account, which includes a half-length diagnostic exam and one of our full-length MCAT practice exams.Learn More