Working her way through school, Liz works two part-time jobs for a total of 27 hours a week. Job A pays $6.00 per hour, and Job B pays $7.40 per hour.

How many hours did she work at each job the week that she made $180.20? (Round to two decimal places if necessary.)

Question

19-03-2024
Business

High School

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Working her way through school, Liz works two part-time jobs for a total of 27 hours a week. Job A pays $6.00 per hour, and Job B pays $7.40 per hour.

How many hours did she work at each job the week that she made $180.20? (Round to two decimal places if necessary.)

Answer :

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Final answer:

Liz worked approximately 14 hours at Job A and 13 hours at Job B during that week. This was determined by setting up and solving a system of linear equations based on the provided information.

Explanation:

This question can be solved by setting up a system of linear equations based on the information provided. If we say A is the number of hours worked at job A and B is the number of hours worked at job B, we have the following two equations:

1. A + B = 27 (as she works a total of 27 hours a week)

2. $6.00A + $7.40B = $180.20 (as she earned $180.20 during that week).

To solve these two equations, we can first multiply equation 1 by $6.00, giving us: $6.00A + $6.00B = $162.00. Next, we subtract this equation from equation 2, which gives:

$1.40B = $18.20. Solving for B we get B = 13 hours (approximately), and substituting B = 13 into equation 1 gives A = 14 hours (approximately). Thus, Liz worked approximately 14 hours at job A and 13 hours at job B during that week.

Learn more about system of linear equations here:

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Working her way through school, Liz works two part-time jobs for a total of 27 hours a week. Job A pays $6.00 per hour, and Job B pays $7.40 per hour.How many hours did she work at each job the week that she made $180.20? (Round to two decimal places if necessary.)

Answer :

Final answer:

Explanation:

Learn more about system of linear equations here:

Other Questions

Working her way through school, Liz works two part-time jobs for a total of 27 hours a week. Job A pays $6.00 per hour, and Job B pays $7.40 per hour.

How many hours did she work at each job the week that she made $180.20? (Round to two decimal places if necessary.)