A wireless carrier offers the following plans that a person is considering. The

Question

A wireless carrier offers the following plans that a person is considering.

The Family Plan: $80 monthly fee, unlimited talk and text on up to 5 lines, and data charges of $25 for each device for up to 2 GB of data per device.

The Mobile Share Plan: $100 monthly fee for up to 10 devices, unlimited talk and text for all the lines, and data charges of $15 for each device up to a shared total of 10 GB of data.

Assuming they stay under their data limit, find the number of devices that would make the two plans equal in cost.
devices

Explanation / Answer

Answer: 2 (As explained below)

Let x be the number of devices that would make the two plans equal in cost. Then we want:

80 + 25x = 100 + 15x

10x = 20

x = 2

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