Question

Cell phone company A charges $20 per month plus $0.05 per text message. Cell phone company B charges $10 per month plus 0.07 per text message. Is there any number of text messages that will result in the exact same charge from both companies?

Answer 1

Yes, 500 texts.

Explanation:

If you write out the equations, you can just set them up equal to each other and simplify.

A = .05x + 20

B = .07x + 10

.05x + 20 = .07x + 10 (subtract 10 from both sides)

.05x + 10 = .07x (subtract .05x from both sides)

10 = .02x (multiply both sides by 50

x = 500 texts