Dan is trying to find a new cell phone plan. Throttle Talks offers a plan for $64.11 a month, plus $2.03 for each megabyte of data. Clutch Cells offers a plan for $63.61 a month, plus $2.08 for each megabyte of data. How many megabytes of data will Dan have to use in one month for the cell phone plans to cost him the same amount?

Answer 1

Let's assume Dan uses x megabytes of data in one month.
For Throttle Talks, the cost of the plan would be $64.11 + $2.03x.
For Clutch Cells, the cost of the plan would be $63.61 + $2.08x.

To find when the plans cost the same, we can set up the following equation:
64.11 + 2.03x = 63.61 + 2.08x

By subtracting 2.03x and 63.61 from both sides, we get:
0.50 = 0.05x

By dividing both sides by 0.05, we find that:
x = 10

Therefore, Dan will have to use 10 megabytes of data in one month for the cell phone plans to cost him the same amount.