Question

a cell phone carrier offers two plans for text messaging. plan a costs $20 per month plus $0.05 per text. plan b costs $10 per month plus $0.10 per text. for how many text messages per month are the plans the same cost?
20
30
200
300

Explanation:

Step1: Set up cost equations

Let \( x \) be the number of text messages.
Cost of Plan A: \( C_A=20 + 0.05x \)
Cost of Plan B: \( C_B=10+0.10x \)

Step2: Set \( C_A = C_B \)

$$
LATEXBLOCK0
$$

Answer:

200