An apple farmer sells small and large boxes of apples . in the morning he sells 3 small boxes and 14 large boxes for a total of $203. in the afternoon he sells 11 small boxes and 11 large boxes for a total of $220 . how much money does the farmer sell one small box of apples for ?

The cost of 1 small box of apples = $7.

Step-by-step explanation:

Let x be the cost of each small box of apples and y be cost of each large box of apples.

We have been given that in the morning he sells 3 small boxes and 14 large boxes for a total of $203. We can represent this information in an equation as:

We are also told that in the afternoon he sells 11 small boxes and 11 large boxes for a total of $220. We can represent this information in an equation as:

Now we will solve our system of equations using substitution method. From equation (1) we will get,

Upon substituting in equation (2) we will get,

Upon distributing 11 we will get,

Now let us have a common denominator on the left hand side of our equation.

Upon multiplying both sides both sides on our equation by 14 we will get,

Therefore, the farmer sells each each small box of apples for $7.