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...

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 ?

Asked on by lcnash15

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gsenviro | College Teacher | (Level 1) Educator Emeritus

Posted on

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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