A cell phone provider offers a plan that costs $40 per month plus $0.20 per text message sent or received. A comparable plan costs $50 per month but offers unlimited text messaging. Complete parts a. and b. below. a. How many text messages would have to be sent or received in order for the plans to cost the same each month? In order for the plans to cost the same,____ text messages would have to be sent or received.

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12-12-2016
Mathematics

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A cell phone provider offers a plan that costs $40 per month plus $0.20 per text message sent or received. A comparable plan costs $50 per month but offers unlimited text messaging. Complete parts a. and b. below. a. How many text messages would have to be sent or received in order for the plans to cost the same each month? In order for the plans to cost the same,____ text messages would have to be sent or received.

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SebRydahl SebRydahl · Answer 1 · 2016-12-12T23:11:12+01:00

You do the following.

Take the price of the most expensive subscription and retract the price of the cheap one.

$50-$40 = $10

Since we know what the price of a text message and the difference in dollars between the two subscriptions, we can calculate how many text messages has to be sent. We just divide the result from before ($10) with the price of a text message ($0.2)

$10/$0.2 = 50

The total number of text messages that needs to be send in order for the price of the subscriptions to be the same, is 50.