Bill earns 500$ a month by working 4 hours per day. In May, he worked more hours at 10$ per hour and earned 650$ that month.

Question

Write an equation to model this situation where x is the number of additional hours he worked in May.

Answer 1

Hello, thank you for taking the time to post your question!

The underlying equation you want to use to solve here is that

Total Earnings – Normal Earnings = Extra Earnings

$650 – $500 = $150

From there then you can divide by the hourly rate to figure out how many extra hours that he worked

$150 / $10/hour = 15 hours

Meaning Bill worked 15 extra hours in May

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

Bill earns $500 per month. He makes $10 per hour.

$500/$10=50 hours that he worked

$650=$10(50+x) where x=# of extra hours

$650=$500+$10x

$650-$500=$10x

$150=$10x

$150/$10=x

x=15 additional hours