Kimberly is deciding between two cell phone plans. The first plan has a $50 sign-up fee and costs $20 per month. The second plan has a $30 sign-up fee and costs $25 per
month. After how many months will the costs be the same for the two phone plans?

2month and 2 weeks

Step-by-step explanation:

We are told that the first plan has a $50 sign-up

fee and costs $20 per month.

let the number of months be x, and the total cost be y

y=20x+501

The second plan has a $30 sign-up fee and costs $25 per

let the number of months be x, and the total cost be y

y=30x+252

Equate the two equations we have

20x+50=30x+25

solve for x, collect like terms

50-25=30x-20x

25=10x

divide both sides by 10

x= 25/10

x=2.5 months

x= 2month and 2 weeks

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