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:
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Final Answer: Eleanor worked $11$ hours at Job A and $9$ hours at Job B.

Steps

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: $6.20 x + 7.40 y = 134.80$ .

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

Step 5 ：Final Answer: Eleanor worked $11$ hours at Job A and $9$ hours at Job B.