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14 November, 10:52

The cost of four scarfs and six hats is $52. The cost of two hats is $1 more than the cost of one scarf. What are the costs of one scarf and one hat?

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  1. 14 November, 13:00
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    Four scarves and six hats is $52.00

    4s+6h=52

    two hats is $1.00 more than the cost of one scarf.

    2h=1s+1

    2h=s+1

    s=2h-1

    substitute for s

    4s+6h=52

    4 (2h-1) + 6h=52

    8h-4+6h=52

    14h=56

    h=4

    s=2h-1

    s=8-1

    s=7

    a scarf cost $7

    a hat cost $4
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