Peg and Larry purchased “no contract” cell phones. Pegs phone costs $25 plus $0.25 per minute. Larry’s phone cost $35 plus $0.20 per minute. After how many minutes of use will Pegs phone cost more than Larry’s phone?

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16-04-2018
Mathematics

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Peg and Larry purchased “no contract” cell phones. Pegs phone costs $25 plus $0.25 per minute. Larry’s phone cost $35 plus $0.20 per minute. After how many minutes of use will Pegs phone cost more than Larry’s phone?

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11beehshahbaz 11beehshahbaz · Answer 1 · 2018-04-25T00:58:56+02:00

Let x be the number of minutes Peg and Larry used their phones. So their costs can be written as:

Cost of Peg's Phone usage = 25 + 0.25x
Cost of Larry's Phone usage = 35 + 0.20x

We are to find when the Peg's phone will be more than Larry's phone. We can set up the inequality as:

25 + 0.25x > 35 + 0.20x

Re-arranging the inequality

0.25x - 0.20x > 35 - 25

0.05x > 10

x > 10/0.05

x > 200

Thus, Pag's phone will cost more if the number of minutes of phone usage is more than 200