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Elizabeth works part-time 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 for 3 hours a day or 4 hours a day. During the 14 day period, how many days did Elizabeth work for 4 hours a day?

2 Answers

2 votes

Answer:

6hr

Explanation:

good to 4 x 6 it 24 that's one half of 48 hours all u need to do is to and another 24 so happens 3 * 8 = 24

and also I take the test

1) Elizabeth works part-time to help pay for college. She has worked for the last-example-1
User Bilbo Baggins
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Let the number of 3-hour days be x while the number of 4-hour days be y
The number of 3-hour and 4-hour days add up to 14 (x+y=14)
Also 3 hours times number of 3-hour days plus 4-hours times number of 4-hour days add up tp 48 (3x+4y=48)
That gives us two simultaneous equations: x+y=14
3x+4y=48
x=14-y
Putting that x equation into the second equation 3(14-y)+4y=48
42-3y+4y=48
4y-3y=48-42
y=6
x+y=14
x=14-6
x=8
Elizabeth worked 8 3-hour days and 6 4-hour days


User Masterofpsi
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