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27 January, 21:41

Tina is saving to buy a notebook computer. She has two options. The first option is to $400 away initially and save $30 every month. The second option is to pit $100 away initially and save $50 every month. After how many months would Tina save the same amount using either option? How much would she save with either option?

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  1. 28 January, 00:37
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    Let n represent the number of months after Tina would save the same amount using either option.

    400 + 30n = 100 + 50n

    400 + 30n - 30n = 100 + 50n - 30n Subtraction Property of Equality

    400 = 100 + 20n Combine like terms.

    400 - 100=100 + 20n - 100 Subtraction Property of Equality

    300 = 20n

    300

    20

    =

    20n

    20

    15 months=n

    After 15 months, Tina will save the same amount using either option.

    400 + 30 (15) = 100 + 50 (15)

    400 + 450=100 + 750

    850 = 850

    After 15 months, Tina will save $850 with either option.
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