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Two companies repair computers. Tech Byte charges $50 an hour and $75 service fee. Best Rite charges $70 an hour and $25 service fee. How many hours, h, will it take for Tech Byte and Best Rite to cost the same?

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Final answer:

To find the number of hours it will take for Tech Byte and Best Rite to cost the same, set up an equation using the total cost for each company. The equation is $50h + $75 = $70h + $25. Simplify the equation and solve for h to find that h = 2.5.

Step-by-step explanation:

To find the number of hours, h, it will take for Tech Byte and Best Rite to cost the same, we can set up an equation using the total cost for each company. The total cost for Tech Byte is given by the equation: $50h + $75. The total cost for Best Rite is given by the equation: $70h + $25. We can set these two equations equal to each other to find the number of hours, h, that will make the costs equal:

$50h + $75 = $70h + $25

Simplifying the equation, we get $75 - $25 = $70h - $50h. Combining like terms, we have $50 = $20h. Dividing both sides of the equation by $20, we find that h = 2.5.

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