Solve this please, as quick as possible...

Question

Dipesh is looking at two different options for a new video rental plan.

Plan A has a fee of $7.95 plus an additional fee of $1.25 per rental. With this plan, the first 2 rentals are free.

Plan B has a fee of $5.00 plus an additional fee of $3.90 per rental. With this plan, the first 6 rentals are free.

 

After how many rentals would both options cost the same amount?

 

Hints...

-Find the expressions that represent each of the two rental plans. Remember, both plans offer a number of free rentals.

-Set the two expressions equal to each other since you are trying to find the number of rentals that would make the two plans cost the same amount.

-Since both expressions involve decimals that are hundredths, you can multiply by 100 to convert the decimals to whole numbers

Answer 1

Let x = number of rentals

 

Plan A offers two free rentals, so we only pay for x-2 rentals.

 

Plan B offers six free rentals, so only x-6 of them are chargeable.  

 

Cost of Plan A:  1.25(x-2) + 7.95 = 1.25x + 5.45

Cost of Plan B:  3.90(x-6) + 5.00 = 3.90x - 18.40

 

The costs are the same when 1.25x+5.45 = 3.90x-18.40

 

                                                              -2.65x = -23.85

 

                                                                       x = 9