Suppose you want to buy 100 pens. You can buy 100 pens at a 10% discount at one store where the price is $3.99 per pen. And you can also buy 100 pens at a 15% discount at another store where the price is $4.27 per pen.

a. What is the price per pen at the first store?

b. What is the price per pen at the second store?

c. What is the total price difference for 100 pens?

store 1 price after discount = $3.59

other store price after discount = $3.63

total price difference of 100 pens between store is $4

Step-by-step explanation:

given data

buy = 100 pens

discount at one store = 10 %

price = $3.99 per pen

discount at another store = 15%

price = $4.27 per pen

solution

we get here first discount at store one is

discount = pen price * discount rate ... 1

discount = $3.99 * 10%

discount = $0.399

so price of pen at store 1

price of pen at store 1 after discount is

price after discount = $3.99 - $0.399

price after discount = $3.59

and

discount at other store is

discount = pen price * discount rate ... 2

discount = $4.27 * 15%

discount = $0.64

so price of pen at other store

price of pen at other store after discount is

price after discount = $4.27 - $0.64

price after discount = $3.63

and

Price of 100 pens after discount at store 1 = $3.59 * 100

Price of 100 pens after discount at store 1 = $359

and

Price of 100 pens after discount at other store = $3.63 * 100

Price of 100 pens after discount at other store = $363

so total price difference of 100 pens between store is $363 - $359

total price difference of 100 pens between store is $4