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12 November, 12:01

A shop sells matching hats and scarves. The scarves cost 1.5 times as much as the hats. Write two patterns that could represent the costs of 1, 2, 3, 4 and 5 hats and scarves. List the first 5 terms of each pattern. Then explain how to find the cost of 6 hats and scarves, using the patterns you wrote.

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  1. 12 November, 14:35
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    Scarves = 1.5 * hats

    Let scarves be 'y' and hats be 'x'

    y = 1.5x

    2y = 2 (1.5x)

    3y = 3 (1.5x)

    4y = 4 (1.5x)

    5y = 5 (1.5x)

    The cost of 6 scarves and 6 hats = 6x + 6 (1.5x) = 6x + 9x = 15x
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