Problem

Consider the following word problem: Eleanor is working her way through school. She works two part-time jobs for a total of 20 hours a week. Job A pays $\$ 6.20$ per hour, and Job B pays $\$ 7.40$ per hou How many hours did she work at each job the week that she made $\$ 134.80$. Step 1 of 2: Use the variables $x$ and $y$ to set up two equations to solve the given problem. Answer First Equation: Second Equation: Submit

Solution

Step 1 :Let's denote: \(x\) = hours Eleanor works at Job A, \(y\) = hours Eleanor works at Job B.

Step 2 :From the problem, we know that Eleanor works a total of 20 hours a week, so we can write the equation: \(x + y = 20\).

Step 3 :We also know that the total amount of money she earns is $134.80, so we can write the equation: \(6.20x + 7.40y = 134.80\).

Step 4 :Solving these two equations, we find that \(x = 11\) and \(y = 9\).

Step 5 :Final Answer: Eleanor worked \(\boxed{11}\) hours at Job A and \(\boxed{9}\) hours at Job B.

From Solvely APP
Source: https://solvelyapp.com/problems/46100/

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