Question

Juan is studying for his final exams in Chemistry and Algebra. He knows he only has 24 hours to study and it will take him at least three times as long to study for Algebra than Chemistry. Can he spend 4 hours on Chemistry and 20 hours on Algebra?

Answer 1

Answer:

Yes he can spend 4 hours on chemistry and 20 on algebra

Answer 2

Answer:

Step-by-step explanation:

a+c≤24

a≥3c

Juan only has 24 hours to study, so the total amount of time he spends studying Algebra and Chemistry must be less than or equal to 24 hours:

a+c≤24

Since it will take him at least three times as long to study for Algebra than Chemistry we have

a≥3c

It follows that the system of inequalities that models this situation is

a+c≤24

a≥3c