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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?

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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.So,wecanwritetheequation:10x+9x=950. So, we can write the equation: 10x + 9x = 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 = 950/19=950 / 19 = 50.

Step 6: Now that we know the hourly rate is 50,wecanfindouthowmuchZachearnedbymultiplyinghishourlyratebythenumberofhoursheworked.Zachearned950, we can find out how much Zach earned by multiplying his hourly rate by the number of hours he worked. Zach earned 9 * 50 = $450.

This problem has been solved

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