Pedro is trying to decide which phone plan to use. Plan A charges $35 monthly plus $5.20 for each gigabyte of data used. Plan B charges $20 monthly plus $10 per gigabyte of data used. Both plans include unlimited calls and texts.
How many gigabytes of data would Pedro need to use in one month for the plans to cost the same amount?
Let x be the number of gigabytes of data used in one month.
For Plan A, the total cost is $35 + $5.20x.
For Plan B, the total cost is $20 + $10x.
To find the point at which the two plans cost the same amount, we set the two expressions equal to each other:
$35 + $5.20x = $20 + $10x
$15 = $4.80x
x = $15 / $4.80
x ≈ 3.125
Pedro would need to use approximately 3.125 gigabytes of data in one month for the two plans to cost the same amount.