The New York Subway Bakery is famous for selling large "black and white cookies." The top of each cookie has one-half chocolate icing and one-half vanilla icing. Mario, the baker, bakes at night after the customers leave. Mario wants to bake two hundred fifty black and white cookies. Mario has thirteen pounds of sugar. there are approximately eleven cups of sugar in a pound. Mario needs three cups of sugar for each batch of black and white cookies. Each batch of cookies dough makes five large black and white cookies. Does Mario have enough sugar to bake two hundred fifty black and white cookies? How many whole batches of black and white cookies can Mario bake? Mario has five dozen cookie boxes. Each cookie box holds four black and white cookies. How many cookies boxes does Mario use to package the black and white cookies he bakes? Between what two whole numbers are the total black and white cookies boxes Mario uses? Mario charges twenty-seven dollars and eighty-five cents per box of cookies. If Mario sells all of the boxes of cookies, how much will he earn?

To find out if Mario has enough sugar to bake 250 black and white cookies, we need to calculate how much sugar is needed for one whole batch of cookies and then see if he has enough to make multiple batches.

Given that there are approximately 11 cups of sugar in a pound, we can calculate how many cups of sugar Mario has. Since he has 13 pounds of sugar, we multiply 13 by 11 to get:

13 pounds * 11 cups/pound = 143 cups of sugar

Now, let's calculate how much sugar is needed for each batch of black and white cookies. Mario needs 3 cups of sugar for each batch.

To determine how many whole batches Mario can make, we divide the total cups of sugar Mario has by the cups of sugar required for each batch:

143 cups of sugar / 3 cups per batch = 47.67 batches

Since we cannot have a fraction of a batch, Mario can only make 47 whole batches of black and white cookies.

Now, let's calculate how many cookie boxes Mario can use to package the cookies. Since each batch makes 5 large black and white cookies and Mario wants to bake 250 cookies, we divide 250 by 5 to find out how many batches he needs:

250 cookies / 5 cookies per batch = 50 batches

Since each batch consists of 4 black and white cookies, we can calculate how many cookie boxes Mario needs by multiplying the number of batches by 4:

50 batches * 4 cookies per batch = 200 cookie boxes

Therefore, Mario will need 200 cookie boxes to package all the black and white cookies he bakes.

The total black and white cookie boxes Mario uses will be between 200 (inclusive) and 201 (exclusive) since we cannot have a fraction of a cookie box.

To calculate how much Mario will earn if he sells all the boxes of cookies, we multiply the number of boxes (200) by the price per box ($27.85):

200 boxes * $27.85 per box = $5,570

Therefore, Mario will earn $5,570 if he sells all the boxes of cookies.