a cell phone company charges $10 per month, for up to 500 text messages, and $.15 for each additional text messages. Stanley was charged $14.50 last month for text messages. Write an equation to find the number of text messages over 500 he sent and received last month

10 + 0.15t = 14.50

0.15t = 4.50

t = 30

Let's assume that the number of text messages Stanley sent and received last month over 500 is represented by the variable 'x.'

Since the monthly charge for up to 500 text messages is $10, and each additional text message costs $0.15, we can write the equation as follows:

$10 + $0.15x = $14.50

Simplifying the equation, we get:

0.15x = 14.50 - 10

0.15x = 4.50

Dividing both sides of the equation by 0.15, we find:

x = 4.50 / 0.15

x = 30

Therefore, Stanley sent and received 30 text messages over the limit of 500 last month.

To write an equation to find the number of text messages over 500 that Stanley sent and received last month, we can start by defining some variables:

Let's denote the number of text messages over 500 that Stanley sent and received as 'x'.

Now, let's break down the charges for text messages:

For up to 500 text messages, the cost is $10 per month.

Any text messages beyond 500 incur an additional charge of $0.15 per text.

So, for the first 500 text messages, Stanley paid $10.

For the additional x text messages, Stanley paid an extra $(0.15 * x).

Thus, the total cost for the text messages can be represented as:

$10 (for up to 500 text messages) + $(0.15 * x) (for any additional messages over 500) = $14.50

Therefore, the equation to find the number of text messages over 500 that Stanley sent and received last month is:

10 + 0.15x = 14.50

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