Question

Antonio just signed up for new phone plan and is comparing his fees to that of his friend

Marcus. They both create equations so that they could compare their fees with each other.
Antonio's plan: Monthly cost 3 (.75m + 10) + 2.50m – 15 where m is the
number of minutes used
Marcus's Plan: Monthly cost 2 (1.75m + 12.50) – .75m + 4 where m is the
number of minutes used by setting their monthly cost equal, decide after how many minutes the two plans will cost the same

Answer 1

7 minutes

Explanation:

Antonio's plan: Monthly cost

3 (.75m + 10) + 2.50m – 15

Marcus's Plan: Monthly cost

2 (1.75m + 12.50) – .75m + 4

where, m = number of minutes used by setting their monthly cost equal

3 (.75m + 10) + 2.50m – 15 = 2 (1.75m + 12.50) – .75m + 4

2.25m + 30 + 2.50m - 15 = 3.5m + 25 - .75m + 4

4.75m + 15 = 2.75m + 29

4.75m - 2.75m = 29 - 15

2m = 14

Divide both sides by 2

m = 14 / 2

= 7

m = 7 minutes