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Tim is choosing between two cell phone plans that offer the same amount of free minutes. Sprint’s plan charges $39.99 per month with additional minutes costing $0.45. Verizon’s plan costs $44.99 with additional minutes at $0.40. How many additional minutes will it take for the two plans to cost the same?

Respuesta :

ZJSG09112007

Answer:

100 minutes

Step-by-step explanation:

Sprints = $39.99 +&0.45

Verizon= $44.99+$0.40

Step 1: Equate the values

[tex]39.99 + 0.45m = 44.99 + 0.40m[/tex]

Step 2 :Collect like terms and simplify

[tex]0.45m - 0.40m = 44.99 - 39.99 \\ 0.05m = 5[/tex]

Step 3 :Divide both sides of the equation by 0.05

[tex] \frac{0.05m}{0.05} = \frac{5}{0.05} [/tex]

Step 4 :Simplify

[tex]m = 100 \\ = 100 \: minutes[/tex]

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