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Answer:
—The fifth month (x = 5)
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Step-by-step explanation:
You have to solve the equation: 60 + (42.95)x = 25 + (49.75)x.
Let’s solve it:
60 + (42.95)x = 25 + (49.75)x ⇔ 60 - 25 = (49.75)x - (42.95)x
⇔ 35 = (49.95 - 42.95)x ⇔ 35 = 7x ⇔ x = 5
:)
The month in which both have to pay the same total amount is:
5th month.
Let the month be x where we have to pay the same total amount for the internet service.
i.e. the total amount for Company A in x months is:
60+42.95x
and the total amount for Company B in x months is:
25+49.95x
The total amount is same for both the companies i.e. we have the equation as follows:
60+42.95x = 25+49.95x
On solving by combining the like terms we have:
[tex]49.95x-42.95x=60-25\\\\7x=35\\\\x=\dfrac{35}{7}\\\\x=5[/tex]
