A cell phone company offers two talk and text plans. The company charges a monthly service fee of $20 for either plan the customer chooses: Customers that choose Talk and Text Plan A are charged five cents a minute and twenty dollars for 250 texts. Customers that choose Talk and Text Plan B are charged ten cents a minute (first 100 minutes free) and fifteen dollars for 200 texts. The equation:   c = 0.10 ( m − 100 ) + 15 + 20 can be used to represent how much a customer would spend monthly for the minutes used. For how many minutes will both plans share the same cost?

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Section10.4: Solve Applications Modeled By Quadratic Equations
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A cell phone company offers two talk and text plans. The company charges a monthly service fee of $20 for either plan the customer chooses:

Customers that choose Talk and Text Plan A are charged five cents a minute and twenty dollars for 250 texts.

Customers that choose Talk and Text Plan B are charged ten cents a minute (first 100 minutes free) and fifteen dollars for 200 texts. The equation:   c = 0.10 ( m − 100 ) + 15 + 20 can be used to represent how much a customer would spend monthly for the minutes used.

For how many minutes will both plans share the same cost?

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