Acell 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

200 texts in a month.

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

To Begin solving this problem we need to create an Algebraic Equation for each of the Plan's. Each of the plans has 2 variables, one of which is the amount of month's (m) and the other is the amount of text's (t). The equations would be the following.

Since We need to find the amount of texts for 1 month that would make the prices the same. We can equal both equations and substitute the amount of months for 1, and then solve for the amount of texts (t).

..... subtract 10 and 0.05t on both sides.

... divide 0.05 on both sides.

Finally we can see that both plans will have the same price when hitting 200 texts in a month.

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