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Regina, Phil and Joseph each wrote expressions to represent their hourly earnings for an after-school job where h represents the number of hours worked. Regina: 6.50h + 16 Phil: 3(2.5h + 5) Joseph: 7.50h + 10 How many hours will Regina and joseph have to work in order to make the same amount of money in one week? Show your work.

Respuesta :

MrRoyal

Answer:

Duration = 6 hours

Step-by-step explanation:

Given

[tex]Regina: 6.50h + 16[/tex]

[tex]Phil: 3(2.5h + 5)[/tex]

[tex]Joseph: 7.50h + 10[/tex]

Required

When will Ragina and Joseph earn equal amounts

To solve this:

[tex]Regina = Joseph[/tex] must be true

This gives:

[tex]6.50h + 16 = 7.50h + 10[/tex]

Collect Like Terms

[tex]7.50h - 6.50h = 16 - 10[/tex]

[tex]h = 6[/tex]

Hence, number of hours is 6

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