Question

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?

Answer 1

Kiran's hourly pay is approximately $8.50.

Step-by-step explanation:

To find Kiran's hourly pay, we can set up a system of equations using the given information.

Let's say Kiran's hourly pay is 'x'. Since his cousin's pay is 30% more, his cousin's hourly pay would be (1 + 30/100) * x = 1.3 * x.

We know that Kiran worked 23 hours and his cousin worked 27 hours. So, we can set up the equation:

x * 23 + (1.3 * x) * 27 = 493.85

Simplifying this equation, we get:

23x + 35.1x = 493.85

58.1x = 493.85

Dividing both sides by 58.1, we find:

x = 493.85 / 58.1

x ≈ 8.497

So, Kiran's hourly pay is approximately $8.50.

Answer 2

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.