Question

Elizabeth works a part time schedule to help pay for college. She has worked for the last 14 days without a day off for a total of 48 hours. Depending on her schedule she either worked 3 or 4 hours a day. During the 14 day period how many days did Elizabeth work for 4 hours a day?

Answer 1

3-hour days = x 

4-hour days = y

(x+y=14)

giving us two equations:

 x+y=14

(3x+4y=48)

 42-3y+4y=48
  

4y-3y=48-42

y=6

x+(6)=14

x=8

Elizabeth worked 6 4-hour days