here are two cell phone planes.\n- plan a costs $70 per month and comes with a free phone worth $500.\n…

here are two cell phone planes.\n- plan a costs $70 per month and comes with a free phone worth $500.\n- plan b costs $50 per month, but doesnt come with a free phone.\n\nif you choose plan b and buy a $500 phone, after how many months will your total cost be the same as the cost of choosing plan a?

here are two cell phone planes.\n- plan a costs $70 per month and comes with a free phone worth $500.\n- plan b costs $50 per month, but doesnt come with a free phone.\n\nif you choose plan b and buy a $500 phone, after how many months will your total cost be the same as the cost of choosing plan a?

Answer

Explanation:

Step1: Define variables and costs

Let ( m ) be the number of months. The total cost for Plan A is always ( $70m ) (since the phone is free). For Plan B, the total cost is the monthly cost plus the phone cost, so it's ( $50m + $500 ).

Step2: Set up the equation

We want to find when the costs are equal, so set ( 70m = 50m + 500 ).

Step3: Solve for ( m )

Subtract ( 50m ) from both sides: ( 70m - 50m = 500 )
Simplify: ( 20m = 500 )
Divide both sides by 20: ( m = \frac{500}{20} = 25 )

Answer:

25