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13 March, 22:01

Laura has $720 and saves $30 a week. Taylor has $1200 and spends $30 a week. in how many weeks will Taylor and Laura have the same amount of money? how much money will that be?

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  1. 13 March, 22:10
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    Let w = number of weeks.

    In week w,

    Laura has: 720 + 30w

    Taylor has: 1200 - 30w

    Set the two amounts equal and solve for w, the number of weeks.

    720 + 30w = 1200 - 30w

    60w = 480

    w = 8

    They will have the same amount of money in 8 weeks.

    Laura will have in 8 weeks:

    720 + 30w = 720 + 30 * 8 = 720 + 240 = 960

    Taylor will have in 8 weeks:

    1200 - 30w = 1200 - 30 * 8 = 1200 - 240 = 960

    They will both have $960 in 8 weeks.
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