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11 October, 23:53

Michael is saving money to attend a ski camp in Canada. The total cost of the camp is $1500. He has 785 in a savings account and plans to save $55 per week. a.) write an equation to represent this problem. B.) use the equation to find the number of weeks he will need to save. Show a formal check.

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  1. 12 October, 00:17
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    The equation to represent this problem is 785 + 55x = 1500

    13 weeks are needed to save

    Solution:

    Michael is saving money to attend a ski camp in Canada

    Let "x" be the number of weeks he saves

    The total cost of the camp is $1500

    Total cost = $ 1500

    He has 785 in a savings account and plans to save $55 per week

    Amount in savings account = 785

    Amount saved per week = $ 55

    Therefore, we frame a equation as:

    Total cost = Amount in savings account + (number of weeks x Amount saved per week)

    1500 = 785 + 55x

    Thus the equation to represent this problem is 785 + 55x = 1500

    B.) use the equation to find the number of weeks he will need to save

    Solve the equation for "x"

    785 + 55x = 1500

    55x = 1500 - 785

    55x = 715

    x = 13

    Thus 13 weeks are needed to save

    Show a formal check:

    Substitute x = 13 in equation

    785 + 55 (13) = 1500

    785 + 715 = 1500

    1500 = 1500

    Thus the equation is correct
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