Your long distance telephone providers offers two plans.Plan A has monthly fee of $15 and $0.25 per minute. Plan B has a monthly fee of $20 and $0.05 per minute.Write and solve an equation to find the number of minuts that you must talk to have the same cost for each of the plans

15 + .25 t = 20 +.05 t

.20 t = 5

t = 25

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To find the number of minutes at which both plans cost the same, we can set up an equation.

Let's assume the number of minutes we talk is 'x'.

For Plan A, the cost would be the monthly fee ($15) plus the cost per minute ($0.25x): Cost(A) = $15 + $0.25x.

For Plan B, the cost would be the monthly fee ($20) plus the cost per minute ($0.05x): Cost(B) = $20 + $0.05x.

Now, we want to find the number of minutes, 'x', at which the costs for both plans are equal. Therefore, we can set up the following equation:

$15 + $0.25x = $20 + $0.05x

Now, let's solve the equation to find the value of 'x'.

First, subtract $0.05x from both sides:

$0.20x + $15 = $20

Next, subtract $15 from both sides:

$0.20x = $5

Finally, divide both sides by $0.20:

x = $5 / $0.20

x = 25

So, you would need to talk for 25 minutes in order for the cost of both plans to be the same.