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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 then Kiran's. Last week his cousin worked 27 hours, and Kiran worked 23 hours. Together, they earned $493.85. What is Kiran's hourly pay? Explain or show your reasoning

What is Kiran's hourly pay?

Respuesta :

Kiran earns $8.50 per hour.

Let x represent Kiran's pay.  He worked 23 hours last week, so his pay would be given by 23x.

Kiran's cousin is paid 30% more.  30% = 30/100 = 0.3.  We add this to the x per hour that Kiran is paid:

x + 0.3x = 1.3x

This is multiplied by 27, since Kiran's cousin works 27 hours:
27(1.3x)

This gives us the following equation:
23x + 27(1.3x) = 493.85
23x + 35.1x = 493.85
58.1x = 493.85

Divide both sides by 58.1:
58.1x/58.1 = 493.85/58.1
x = 8.5

Thus Kiran earns 8.50 per hour.
raphealnwobi

Kiran's hourly pay is $11.28 per hour

Let x represent the number of hours worked and m represent Kiran's cousin hourly pay.

Kiran cousin pay = mx

Kiran pay is 30% more, hence:

Kiran pay = mx + 0.3mx = 1.3mx

Kiran cousin worked for 27 hours, hence:

Kiran cousin pay = 27m

Kiran worked for 23 hours, hence:

Kiran pay = 23*1.3m = 29.9m

Together they earned $493.85, hence:

27m + 29.9m = 493.85

56.9m = 493.85

m = $8.68 per hour

Kiran's hourly pay = 1.3m = 1.3 * 8.68 = $11.28 per hour

Kiran's hourly pay is $11.28 per hour

Find out more at: https://brainly.com/question/13911928

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