Question

William bought a photocopier and supplies for $162.50, which will allow him to make copies for $0.12 each. A photocopy store charges $0.21 for each copy. How many copies must William make before his total cost is less than getting copies made at the photocopy store?

1. William must make more than 1705 copies.
2. William must make more than 1915 copies.
3. William must make more than 1905 copies.
4. William must make more than 1805 copies.

Answer 1

William must make more than 1805 copies.

Explanation:

Cost of photocopier and supplies = $162.50.

This will allow him to make copies for $0.12 each. This rate is cheaper than that of the photocopy store that charges $0.21 for each copy.

To determine the number of copies William must make before his total cost is less than getting copies made at the photocopy store,

Let x = the number of copies he needs to make.

0.12x +162.5 should be lease than 0.21x

Replacing the inequality sign(lesser than) with equal to,

0.12x +162.5 = 0.21x

0.09x = 162.5

x = 1805.55

Approximately,x = 1806

So William must make more than 1805 copies.