Ramiro earns $20 an hour during the week and $30 an hour for overtime on the weekends. One week, Ramiro earned a total of $650. He worked a total of 30 hours, including both weekday and weekend hours. Determine how many hours of overtime Ramiro worked on the weekend.

Part A: Define your variables.

Part B: Write two equations for this scenario.

Part C: Determine how many hours of overtime Ramiro worked on the weekend.

Question

College

Answer :

vintechnology vintechnology · Answer 1 · 2023-09-29T03:46:01-04:00

The number of hours Ramiro worked overtime is 5 hours.

Ramiro earns $20 an hour during the week and $30 an hour for overtime on the weekends.

One week, Ramiro earned a total of $650. he worked a total of 30 hours, including both weekday and weekend hours.

The number of hours Ramiro worked on the weekend can be calculated as follows;

using equation,

let

x = number of hours worked during the week

y = number of hours worked during overtime

Hence,

20x + 30y = 650

x + y = 30

multiply equation(ii) by 20

20x + 30y = 650

20x + 20y = 600

subtract the equations

10y = 50

y = 50 / 10

y =5

Therefore, the number of hours worked overtime is 5 hours.

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