Suri makes $15 per hour and gets a weekly bonus of $25. Juan makes $14 per hour and gets a weekly bonus of $50. Is it possible for Suri and Juan to make the same amount of wages, y, by working the same number of hours, x, in one week? Use the drop-down menus to explain your answer.
Mathematics · High School · Mon Jan 18 2021
Answered on
Given the statement:
Suri makes $15 per hour and gets a weekly bonus of $25. Juan makes $14 per hour and gets a weekly bonus of $50.
Determine if it is possible for Suri and Juan to make the same amount of wages, y, by working the same number of hours, x, in one week.
Solution:
In order to determine the answer, we simply need to have the same number of working hours in a week. To do so, we equate the two given in an equation.
x = number of hours
Suri's Earnings = 15x + 25
Juan's Earnings = 14x + 50
15x + 25 = 14x + 50
Transpose 14x and 25 to the opposite sides of the equation, hence it must be taken to note that in transposing a number, the sign changes.
15x - 14x = 50 - 25
x = 25
Final answer:
Yes it is possible for the two person to make the same amount of wages if the work for 25 hours in a week.