Kiran and his cousin work during the summer for a landscaping company. Kiran's cousin has been working for the company longer, so his pay is 30% more than Kiran's. Last week his cousin worked 27 hours, and Kiran worked 23 hours. Together, they earned $493.85. What is Karen's hourly pay?

Question

Mathematics

Danika Farmer

24 March, 01:55

Kiran and his cousin work during the summer for a landscaping company. Kiran's cousin has been working for the company longer, so his pay is 30% more than Kiran's. Last week his cousin worked 27 hours, and Kiran worked 23 hours. Together, they earned $493.85. What is Karen's hourly pay?

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Answers (1)

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Hope Krueger · Answer 1

8.5 $

Step-by-step explanation:

Let Kiran 's salary is x $ per hour

hence cousin 's salary is x + 30% of x per hour

or x+0.3x or 1.3x per hour

cousin 's earning 27 (1.3x) = 35.1 x

kiran 's earning 23x

hence 35.1x + 23x = 493.85

58.1x = 493.85

x = 493.85 / 58.1

x = 8.5 $