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