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14 April, 07:07

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?

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  1. 14 April, 08:04
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    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
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