A company spent $100.80 to purchcase flyers for their grand opening. The flyers cost between $0.50 and $0.70 each. The price was a multiple of $0.05. The company paid the same amount for each flyer.

5. How many flyers did the company buy?

6. How much did each flyer cost?
Thank you

To find the number of flyers the company bought, we can start by finding the range of possible flyer prices. Given that the flyers cost between $0.50 and $0.70 each, we can calculate the possible number of flyers bought by dividing the total cost of flyers by the minimum and maximum prices:

Number of Flyers = Total Cost / Price per Flyer

In this case, the total cost is $100.80 and the price per flyer ranges from $0.50 to $0.70. Since the price is a multiple of $0.05, we could calculate the number of flyers for each possible price within the range (i.e., $0.50, $0.55, $0.60, $0.65, and $0.70) and see which one results in a whole number of flyers.

Next, we divide the total cost of $100.80 by each possible price and check if it results in a whole number. Let's calculate this:

For $0.50 per flyer:
Number of Flyers = $100.80 / $0.50 = 201.6

For $0.55 per flyer:
Number of Flyers = $100.80 / $0.55 = 183.27

For $0.60 per flyer:
Number of Flyers = $100.80 / $0.60 = 168

For $0.65 per flyer:
Number of Flyers = $100.80 / $0.65 = 155.08

For $0.70 per flyer:
Number of Flyers = $100.80 / $0.70 = 144

From the calculations above, we can see that the price of $0.60 per flyer (168 flyers) and $0.70 per flyer (144 flyers) results in a whole number. However, since the problem states that the company paid the same amount for each flyer, the company bought 168 flyers.

To calculate the cost per flyer, we divide the total cost by the number of flyers:

Cost per Flyer = Total Cost / Number of Flyers

In this case, the total cost is $100.80 and the number of flyers is 168:

Cost per Flyer = $100.80 / 168 = $0.60

Therefore, the company bought 168 flyers and each flyer cost $0.60.