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25 September, 22:58

Sara travels twice as far as Eli when going to camp. Ashley travels as far as Sara and Eli together. Hazel travels 3 times as far as Sara. In total, all 4 travel a total of 888 miles to camp. How far do each of them travel?

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  1. 25 September, 23:22
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    Eli travels the shortest distance, so she'll be the main letter for algebra. She can be 'e'.

    Sara travels twice as far, so her distance is 2e.

    Ashley travels Sara and Eli, so 2e + e, or 3e

    Hazel travels 3 times Sara, so 2e * 3, or 6e. Together they all travel 888 miles.

    So e + 2e + 3e + 6e = 888

    Simply, 12e = 888

    Therefore, e = 888/12, or 74

    So Eli travels 1*74 (74) miles

    Sara travels 2*74 (148) miles

    Ashley travels 3*74 (222) miles

    Hazel travels 6*74 (444) miles
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