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 ?

Step-by-step explanation:

Let m represent the number of boxes sold by mark and a represent the number of boxes sold by Ann.

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

We are also told that Ann sold 2 boxes less than n. We can represent this information in an equation as:

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

Now we will use substitution method to solve our system of equations.

Upon substituting equation (1) and (2) in (3) we will get,

The integer less than 12 is 11, therefore, the value of n is 11.