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a Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $15 monthly fee and charges an additional 0.11 for each minute of callsThe second plan has an $8 monthly fee and charges an additional for each minute of calls For how many minutes of calls will the costs of the two plans be equal?

A Customers Of A Phone Company Can Choose Between Two Service Plans For Long Distance Calls The First Plan Has A 15 Monthly Fee And Charges An Additional 011 Fo class=

Sagot :

Assume that the number of the minutes of calls is x minutes

For the first plan:

There is a monthly amount of $15

Additional cost $0.11 for each minute

Then the cost of the calls is

[tex]15+0.11x[/tex]

For the second plan:

There is a monthly amount of $8

Additional cost $0.16 for each minute

Then the cost of the calls is

[tex]8+0.16x[/tex]

If the two plans cost the same, then equate the two expressions above

[tex]8+0.16x=15+0.11x[/tex]

Now let us solve the equation to find x

Subtract 8 from both sides

[tex]\begin{gathered} 8-8+0.16x=15-8+0.11x \\ 0.16x=7+0.11x \end{gathered}[/tex]

Subtract 0.11x from both sides

[tex]\begin{gathered} 0.16x-0.11x=7+0.11x-0.11x \\ 0.05x=7 \end{gathered}[/tex]

Divide both sides by 0.05

[tex]\begin{gathered} \frac{0.05x}{0.05}=\frac{7}{0.05} \\ x=140 \end{gathered}[/tex]

For 140 minutes the two plans have equal cost

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