Hannah and Zach together earn $950 for an advertising drop.They earn equal hourly rates of pay.If Hannah worked for 10 hours and Zach for 9 hours, how much did Zach earn?
Question
Hannah and Zach together earn $950 for an advertising drop.They earn equal hourly rates of pay.If Hannah worked for 10 hours and Zach for 9 hours, how much did Zach earn?
Solution
Step 1: Understand the problem. Hannah and Zach earn the same hourly rate. Hannah worked for 10 hours and Zach worked for 9 hours. Together, they earned $950.
Step 2: Let's denote the hourly rate as x. Since they earn the same hourly rate, Hannah earned 10x and Zach earned 9x.
Step 3: According to the problem, the sum of their earnings is 950.
Step 4: Simplify the equation. Combine like terms on the left side to get 19x = $950.
Step 5: Solve for x by dividing both sides of the equation by 19. x = 50.
Step 6: Now that we know the hourly rate is 50 = $450.
Similar Questions
One week, Charlotte earned $333.00 at her job when she worked for 18 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $425.50?
Sarah earns $16 per hour. Last week, she worked 7 hours on Monday, 7 hours on Tuesday, and 3 hours on Wednesday. She had Thursday off, and then she worked 10 hours on Friday. How much money did Sarah earn in all last week?
Eric earns $11 per hour. Last week, he worked 10 hours on Monday, 5 hours on Tuesday, and 8 hours on Wednesday. He had Thursday off, and then he worked 8 hours on Friday. How much money did Eric earn in all last week?
If Jim and Jerry work together they can finish a job in 4 hours. If working alone takes Jim 10 hours to finish the job, how many hours would it take Jerry to do the job alone?
Gabby earns $14 per hour. She worked 5 hours on Friday, 9 hours on Saturday, and 4 hours on Sunday. How much money did Gabby earn in all on Friday, Saturday, and Sunday?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.