Question

Stacey’s text plan charges 5 cents for each message over 650 in addition to a $6 base charge. If she owes $13 for texting messaging how many text messages did she send

Answer 1

790

Explanation:

Let's assume that Stacey sent X text messages.

According to the given information, Stacey's text plan has a base charge of $6, and she is charged an additional 5 cents for each message over 650.

The additional charge for the messages over 650 can be calculated as (X - 650) * 0.05 cents.

So, the total amount she owes for texting can be expressed as:

Total amount = Base charge + Additional charge for extra messages

$13 = $6 + (X - 650) * 0.05

To solve for X, we can rearrange the equation:

(X - 650) * 0.05 = $13 - $6

(X - 650) * 0.05 = $7

X - 650 = $7 / 0.05

X - 650 = $140

X = $140 + 650

X = 790

Answer 2

Let's denote the number of text messages Stacey sent as "x." According to the given information, Stacey's text plan charges 5 cents for each message over 650, in addition to a $6 base charge.

The total cost for text messaging can be calculated as follows:

Cost = Base charge + (Number of messages - Message limit) * Cost per additional message

Cost = $6 + (x - 650) * $0.05

We are told that Stacey owes $13 for text messaging. So we can set up the equation:

$13 = $6 + (x - 650) * $0.05

Simplifying the equation:

$13 - $6 = (x - 650) * $0.05

$7 = (x - 650) * $0.05

Dividing both sides by $0.05:

140 = x - 650

Adding 650 to both sides:

x = 140 + 650

x = 790

Therefore, Stacey sent 790 text messages.