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Sandhya_sharma
Sandhya_sharma, Master's Degree
Category: Math Homework
Satisfied Customers: 3713
Experience:  I hold M.Sc and M.Phil degrees in math and have several years of teaching experience.
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The family and the family each used their sprinklers last

Customer Question

The Murphy family and the Rodriguez family each used their sprinklers last summer. The water output rate for the Murphy family's sprinkler was
30L
per hour. The water output rate for the Rodriguez family's sprinkler was
25L
per hour. The families used their sprinklers for a combined total of
50
hours, resulting in a total water output of
1400L
. How long was each sprinkler used?
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Customer: I'm just stuck o this problem and need help working through it
Submitted: 11 days ago.
Category: Math Homework
Expert:  Sandhya_sharma replied 11 days ago.

Let x be the number of hours Murphy family's sprinkler was used and y be the number of hours Rodriguez family's sprinkler was used.

The system of equations will be

x + y = 50---------------(i)

30x + 25y = 1400---------(ii)

from equation (i)

y = 50-x

substitute value of y in equation (ii)

30x + 25(50-x) = 1400

30x + 1250 - 25x = 1400

5x + 1250 = 1400

5x = 1400-1250

5x = 150

divide by 5

x = 150/5 = 30 hours

Now, y = 50-x = 50-30 = 20 hours

Number of hours Murphy family's sprinkler used = x = 30 hours

Number of hours Rodriguez family's sprinkler used = y = 20 hours

Answer:

Number of hours Murphy family's sprinkler used = 30 hours

Number of hours Rodriguez family's sprinkler used = 20 hours

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