Question

FLVS Algebra 1 A: Expressions and Equations: 01.03 Solving One-Variable Linear Equations

To print flyers, Speedy Ads charges 2.5 times the cost of paper, p, plus $15, represented as 2.5p + 15. Fast Flyers charges 4.5 times the cost of paper, p, an $8 discount, represented as 4.5p – 8. Calculate the cost of printing flyers if the total cost is the same for each company.

$30.50
$21.35
$11.50
$43.75

Answer 1

Let's set up the equation for the total cost of printing flyers for both companies:

For Speedy Ads: Total cost = 2.5p + 15
For Fast Flyers: Total cost = 4.5p - 8

Since the total cost is the same for both companies, we can equate the two expressions:

2.5p + 15 = 4.5p - 8

Now, let's solve for p (the cost of paper):

2.5p - 4.5p = -8 - 15
-2p = -23
p = -23 / -2
p = 11.5

Now that we have the cost of paper (p = $11.5), we can find the total cost for either company by substituting this value into their respective equations:

For Speedy Ads: Total cost = 2.5 * 11.5 + 15 = 28.75 + 15 = $43.75

For Fast Flyers: Total cost = 4.5 * 11.5 - 8 = 51.75 - 8 = $43.75

Both companies have a total cost of $43.75 for printing flyers, so the correct answer is $43.75.

Answer 2

We can set the two expressions equal to each other since the total cost is the same for each company:

2.5p + 15 = 4.5p - 8

Simplifying this equation:

15 + 8 = 4.5p - 2.5p

23 = 2p

p = 11.5

Now that we know the cost of the paper, we can substitute it into either expression to find the total cost:

Speedy Ads: 2.5(11.5) + 15 = 43.75

Fast Flyers: 4.5(11.5) - 8 = 43.75

Therefore, the cost of printing flyers if the total cost is the same for each company is $43.75.