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What is the value of x in the equation one-fifthx – two-thirdsy = 30, when y = 15?
A phone plan has a limit of $25 that can be spent on text messages. The base cost of the text plan will cost a user $5. Each text will cost $0.05. How many text messages (t) can a user send without exceeding the plan limits?

Respuesta :

The value of x is 200

The number of texts is 1000

How to determine the values

We have that:

1/ 5x - 2/3 y = 30

Where y = 15

Now, let's find the LCM

3x - 10y/ 15 = 30

cross multiply

3x - 10y = 450

substitute the value of y

3x - 10(15) = 450

3x - 150 = 450

collect like terms

3x = 450 + 150

3x = 600

x = 600/ 3

x = 200

To determine the number

$0. 05 is the cost per text

Base cost is $5

Limit is $25

= 25/ 0. 05 + 5

= 25/ 0. 025

=1000

Thus, the value of x is 200 and number of texts is 1000

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