Question

Josh can order 1 color ink cartridge and 2 black ink cartridges for his printer for $78. He can also order 1 color ink cartridge and 1 black ink cartridge for $53. What is the cost of each cartridge?

Answer 1

The cost of 1 black ink cartridge is $25

The cost of 1 color ink cartridge is $28

Explanation:

Let the cost of one color cartridge = $x

Let the cost of one black ink cartridge = $y

So according to the question:

x + 2y = 78

and x + y = 53 or, x = 53 -y

put this value in the equation (1)

or, x + 2y = 78 ⇒ (53 - y) + 2y = 78

or, 53 + y = 78

or, y = 78 - 53 = 25

⇒ The cost of 1 black ink cartridge is $25

Now, x = 53 - y = 53 - 25 = 28

⇒ The cost of 1 color ink cartridge is $28