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

Answer:

The cost of 1 black  ink cartridge is $25

The cost of 1 color  ink cartridge is $28

Step-by-step 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