Question

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.

Answer 1

Answer:

Yes. Suri and Juan can make the same amount of wages by working 25 hours in one week.

Step-by-step explanation:

Let each of them work x hours per week.

Suri makes $15 per hour, so in x hours Suri will make $ 15x. The total wages per week for Suri will be:

Total Wages = y = 15x + Bonus = 15x + 25

Juan makes $14 per hour, so in x hours Juan will make $ 14x. The total wages per week for Juan will be:

Total Wages = y = 14x + Bonus = 14x + 50

If they will make the same wages, their wages must be equal, i.e.

15x + 25 = 14x + 50

15x - 14x = 50 - 25

x = 25

This result shows us that if Suri and Juan work for 25 hours per week they will make the same amount of wages.