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An OSU senior is studying for exams in psychology and economics. The student has time to read 50 pages of psychology and 10 pages of economics. Or, in the same amount of time the student could read 30 pages of psychology and 70 pages of economics. How many pages of economics can the student read instead of reading just 1 page of psychology

Respuesta :

Answer:

3 Pages

Step-by-step explanation:

  • Let the pages of economics read = e
  • Let the pages of psychology read = p
  • Let the total time taken on each instance=t

In the first instance, the student has time to read 50 pages of psychology and 10 pages of economics.

  • t=50p+10e

The student could read 30 pages of psychology and 70 pages of economics.

  • t=30p+70e

Since the two situations take the same amount of time, we have:

50p+10e=30p+70e

Collect like terms

50p-30p=70e-10e

20p=60e

Divide both sides by 20

p=3e

Therefore, in the time it will take the student to read 1 page of psychology, the student can read 3 pages of economics.