1. ## Algebra Question

Joseph wishes to have some flyers delivered for his grocery business. Speedy Post charges a fee of 200 dollars plus 50 cents per flyer. Quick Send charges a fee of 100 dollars plus 80 cents per flyer. For what number of flyers will the cost be the same for either delivery company?

2. ## Re: Algebra Question

$200 + (0.5)n = 100 + (0.8)n$

$(0.3)n = 100$

$n = \dfrac{1000}{3}$

$333 < n < 334$

3. ## Re: Algebra Question

Strictly speaking, there is no such number. As romsek showed, if the number of flyers is 333 or less, Speedy Post cost more than Quick Send. If the number of flyers is 334 or more, Quick Send cost more than Speedy Post. Since the number of flyers must be an integer, there is no number of flyers for which the two are the same.