Mark and Ann together were allocated n boxes of cookies to sell for a club project. Mark sold 10 boxes less than n and Ann sold 2 boxes less than n. If Mark and Ann have each sold at least one box of cookies, but together they have sold less than n boxes, what is the value of n?

A) 11
B) 12
C) 13
D) 14
E) 15

A) 11

Step-by-step explanation:

Let M and A represent number of boxes of cookies sold by Mark and Ann respectively.

We have been given that Mark sold 10 boxes less than n. We can represent this information as: .

Ann sold 2 boxes less than n, so number of boxes of cookies sold by Ann would be .

Further we are told that Mark and Ann have each sold at least one box of cookies, so we will get:

and .

Now, we can set two inequality as:

 and  

   and  

 and

We are also told that together they have sold less than n boxes. We can represent this information in an inequality as:

Let us solve for n.

Upon combining our inequalities , and , we can see that the value of n that will be less than 12 and greater than or equal to 11 is 11.

Therefore, the value of n is 11 and option A is correct choice.

12 servings. 4 times 3= 12

step-by-step explanation:

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