Working her way through school, Liz works two part-time jobs for a total of 26 hours a week. Job A pays $6.40 per hour, and Job B pays $7.00 per hour. How many hours did she work at each job the week that she made $173.60? (Round to two decimal places if necessary.)

The problem can be solved using a system of linear equations by transforming the information provided about the total number of hours worked and total earnings into two equations, then solving these through substitution or elimination.

Explanation:

This problem can be solved using a system of linear equations.
Let's denote the number of hours Liz works at Job A as 'a' and at Job B as 'b'. We have two pieces of information which we can turn into equations:
1. The total hours she works at both jobs is 26, so a + b = 26.
2. The total amount of money she earns is $173.60, so 6.40a + 7.00b = 173.60.
You can solve this system of equations by substitution or elimination to find the number of hours for each job.

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trinitysvlogs101 trinitysvlogs101 · Answer 2 · 2025-04-28T04:08:01-04:00

trinitysvlogs101 trinitysvlogs101

28-04-2025

Answer:

She worked 14 hours at Job A and worked 12 hours at Job B

Step-by-step explanation:

14 × 6.40 = 89.60 and 12 × 7 = 84

84 + 89.60 = 173.60

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