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4 November, 20:47

Ava and Addison are saving for a new cell phone. Ava is starting at 100$ and adding 5$ each week. Addison is starting with 200$ and is adding 4$ each week. Write and solve a problem that can be used to find out after how many weeks Ava and Addison will have the same amount of money saved?

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  1. 4 November, 20:56
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    The numbers of weeks for which both Ava and Addison have same amount of money saved is 100 weeks.

    Step-by-step explanation:

    Given as:

    The amount of money having with Ava at starting = $100

    The money that Ava is saving each week = $5

    The amount of money having with Addison at starting = $200

    The money that Addison is saving each week = $4

    Now, Let The numbers of weeks for which both Ava and Addison have same amount of money saved = n weeks

    Now, According to question

    The amount of money having with Ava at starting + (The money that Ava is saving each week * numbers of weeks) = The amount of money having with Addison at starting + (The money that Addison is saving each week * numbers of weeks)

    Or, $100 + $5 * n = $200 + $4 * n

    Or, $5 * n - $4 * n = $200 - $100

    Or, n = 100

    So, The numbers of weeks for which both Ava and Addison have same amount of money saved = n = 100 weeks

    Hence, The numbers of weeks for which both Ava and Addison have same amount of money saved is 100 weeks. Answer
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