Question

Ben can purchase office supplies for his store from several companies. Acme Wholesale will sell him 100 pens and 200 pencils for $125. Grant Supply Company will sell him 500 pens and 200 pencils for $425. If the pens and pencils are the same price at both companies, how much will Ben pay for each?

Answer 1

The price of each pen is $0.25 (25 cents) and the price of each pencil is $0.50 (50 cents).

Step-by-step explanation:

To find the price of pens and pencils at each company, we can set up a system of equations using the given information. Let's denote the price of a pen as 'p' and the price of a pencil as 'c'.

From the first company, Acme Wholesale, we know that 100p + 200c = 125.

From the second company, Grant Supply Company, we know that 500p + 200c = 425.

Solving this system of equations will give us the values of 'p' and 'c', which represent the price of a pen and a pencil, respectively.

p = $0.25 (25 cents)

c = $0.50 (50 cents)