Myra selling chocolate chip cookies to the college kids and she selling 1 cookie for $1 and a dozen of cookies for $10. she work 7 days a week , But she want to make $600 by the end of the week. How would you set up the equation ?
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Assuming that Myra sells any other number than a dozen cookies at $1/cookie.
Let x be the total number of single cookies sold every day and y be the number of dozen of cookies sold every day.
Thus, the total daily sale, in $ = 1*x + 10*y = x + 10y
Total weekly sale, in $ = 7(x+10y)
Since Myra wants to make $600 by the end of week (7 days),
thus, 7(x+10y) = 600
Typically, these questions are set for a minimum sale of a certain value, such as $600 in given question. In that case, the equation can be modified as
7(x+10y) `>=` 600
Numerical based on this scenario can be solved easily. Say, Myra made $600 by selling "n" cookies in a week, then the equations can be set as:
7(x+10y) = 600 & 7(x+12y) = n
These two equations can be solved to obtain the values of x and y.
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