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?

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Verified Answer :

thatasian thatasian · Answer 1 · 2016-11-30T11:55:27-05:00

1) Make them into equations.
0.05x + 20 = 0
0.07x + 10 = 0

2) Equate the two.
0.05x + 20 = 0.07x + 10
0.02x = 10
x = 500

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Alleei Alleei · Answer 2 · 2020-01-28T03:59:37-05:00

Answer : The number of text messages that will result in the exact same charge from both companies is, 500

Step-by-step explanation :

Let the number of text messages be, 'x'

Cell phone company A charges $20 per month plus $0.05 per text message. Thus, the equation will be:

$20+0.05x=0$ ............(1)

Cell phone company B charges $10 per month plus $0.07 per text message. Thus, the equation will be:

$10+0.07x=0$ ............(2)

Now equating equation 1 and 2, we get:

$20+0.05x=10+0.07x$

$20-10=0.07x-0.05x$

$10=0.02x$

$x=\frac{10}{0.02}$

$x=500$

Thus, the number of text messages that will result in the exact same charge from both companies is, 500