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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?

User Ilya Vo
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2 Answers

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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
User Bronze Man
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8.1k points
5 votes

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=(10)/(0.02)


x=500

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

User Markus Kauppinen
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