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Melinda and Shirley worked together to make hamburger pattie
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21 Feb 2020, 11:39
21 Feb 2020, 11:39
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Question Stats:
57% (02:25) correct
42% (02:23) wrong based on 21 sessions
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Melinda and Shirley worked together to make hamburger patties. Shirley worked for 1 hour and 45 minutes, Melinda worked for 45 minutes, and they split their earnings according to the amount of time each spent working. Melinda’s hourly rate, however, is twice that of Shirley’s. If the two together earned $48.75, what was Shirley’s hourly rate?
A. $15
B. $20
C. $25
D. $30
E. $35
Kudos for the right answer and explanation
A. $15
B. $20
C. $25
D. $30
E. $35
Kudos for the right answer and explanation
Re: Melinda and Shirley worked together to make hamburger pattie
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23 Feb 2020, 07:27
23 Feb 2020, 07:27
1
Let x be Shirley's hourly rate.
We have x+\(\frac{45}{60}\)*x+\(\frac{45}{60}\)*2x=48.75
Solve for x, x=15$
We have x+\(\frac{45}{60}\)*x+\(\frac{45}{60}\)*2x=48.75
Solve for x, x=15$
Re: Melinda and Shirley worked together to make hamburger pattie
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23 Feb 2020, 10:58
23 Feb 2020, 10:58
1
Expert Reply
Shirley's time = 1 hour 45 min = 7/4 hours
Melinda's time = 3/4 hours
Let the Shirley's hourly rate = x
--> Melinda's hourly rate = 2x
Total earning = 48.75
--> \(\frac{7}{4}*x + \frac{3}{4}*2x = 48.75\)
--> \(\frac{13}{4}*x = 48.75\)
--> \(x = 48.75*\frac{4}{13} = \frac{195}{13} = 15\)
Shirley's hourly rate = x = $15
Melinda's time = 3/4 hours
Let the Shirley's hourly rate = x
--> Melinda's hourly rate = 2x
Total earning = 48.75
--> \(\frac{7}{4}*x + \frac{3}{4}*2x = 48.75\)
--> \(\frac{13}{4}*x = 48.75\)
--> \(x = 48.75*\frac{4}{13} = \frac{195}{13} = 15\)
Shirley's hourly rate = x = $15
