Cell phone plan A costs $70 per month and comes with a free $500 phone. Cell phone plan B costs $50 per month but does not come with a phone. If you buy the $500 phone and choose plan B, how many months is it until your cost is the same as plan A's?

Question

Mathematics

Cecelia Bartlett

4 July, 17:07

Cell phone plan A costs $70 per month and comes with a free $500 phone. Cell phone plan B costs $50 per month but does not come with a phone. If you buy the $500 phone and choose plan B, how many months is it until your cost is the same as plan A's?

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Answers (1)

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Jan Ibarra · Answer 1

Answer:25 months

Step-by-step explanation: Let's make the equations first,

Plan A: 70x Plan B: 50x+500

Now we make it into an equivalent equation:

70x=50x+500

Then we solve:

70x=50x+500

-50x - 50x

20x=500

:20 : 20

x=25

To check if it's correct, we just plug it in:

70 (25) = 50 (25) + 500

1750=1750