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6 January, 15:56

Monica and Michael both want to buy a scooter. Monica has already saved $25 and plans to save five dollars per week until she can buy the scooter. Michael has $16 and plans to save 8 dollars a week. in how many weeks or will Monica and Michael have saved the same amount of money? How much will each person Have saved at that time?

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  1. 6 January, 16:21
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    Let's write equations for both Monica and Michael to represent what they should have.

    Let's have W represent the number of weeks that pass.

    So Monica already has $25 and wants to save $5 each week, her equation will be:

    Monica = 25 + 5W

    Michael has $16 and will save $8 each week, so his equation is:

    Michael = 16 + 8W

    We want to know the number of weeks where Monica and Michael have the same amount of money, so:

    Monica = Michael or 25 + 5W = 16 + 8W

    Solve for W:

    1. subtract 16 from both sides to get 9 + 5W = 8W

    2. subtract 5W from both sides to get 9 = 3W

    3. divide both sides by 3 to get W = 3

    So it takes 3 weeks for them to have saved the same amount of money. Plug W = 3 back into one of the equations (it doesn't matter which one) to figure out how much they saved.

    16 + 8W = 16 + 8 * (3) = $40
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