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16 August, 05:05

2. 4 masks and 1 pack of gloves costs $18. Three packs of gloves and 4 masks costs $22. What is the cost of one pack of gloves and one mask?

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  1. 16 August, 06:45
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    One mask=$4

    One pack of glove=$2

    Step-by-step explanation:

    Let mask=m

    Let glove=g

    4m+g=18 (1)

    4m+3g=22 (2)

    From (1)

    g=18-4m

    Substitute g=18-4m into equation (2)

    4m+3g=22

    4m+3 (18-4m) = 22

    4m+54-12m=22

    4m-12m=22-54

    -8m=-32

    Divide both sides by - 8

    m=4

    Substitute m=4 into equation (1)

    4m+g=18

    4 (4) + g=18

    16+g=18

    g=18-16

    g=2

    One mask=$4

    One pack of glove=$2
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