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SpyIntel [72]
3 years ago
10

Cell phone A charges $20 per month plus $0.05 per text. 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?
Mathematics
1 answer:
Alexus [3.1K]3 years ago
8 0

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

<em><u>Solution:</u></em>

Let "x" be the number of text messages

<em><u>Cell phone A charges $20 per month plus $0.05 per text</u></em>

Thus, a equation for cell phone A is framed as:

Cell phone A : 20 + 0.05(number of messages)

Cell phone A : 20 + 0.05x --------- eqn 1

<em><u>Cell phone company B charges $10 per month plus $0.07 per text message</u></em>

Thus, a equation for cell phone B is framed as:

Cell phone B: 10 + 0.07(number of messages)

Cell phone B : 10 + 0.07x ---------- eqn 2

<em><u>For exact same charge from both companies, eqn 1 must be equal to eqn 2</u></em>

20+0.05x = 10+0.07x\\\\0.07x - 0.05x = 20-10\\\\0.02x = 10\\\\Divide\ both\ sides\ of\ equation\ by\ 0.02\\\\x = 500

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

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