Question

Adriano wants to get a new cell phone plan. Company A: $80 for a new phone in the monthly fee of $45 a month. Company B: she can keep her all sound and pay $85 a month. Find the number of months it will take for the total cost for both companies to be equal.

Answer 1

Answer: it will take 2 months.

Explanation:

Let x represent the number of months it will take for the total cost for both companies to be equal.

Company A: $80 for a new phone and the monthly fee of $45 a month. This means that the total amount that Company A charges for x months would be

80 + 45x

Company B: she can keep her all sound and pay $85 a month. This means that the total amount that Company B charges for x months would be

85x

For the total cost for both companies to be equal, the number of months would be

80 + 45x = 85x

85x - 45x = 80

40x = 80

x = 80/40 = 2