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?
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To determine if Mario has enough sugar to bake 250 black and white cookies, we need to calculate the total amount of sugar needed for those cookies.
1. There are 11 cups of sugar in 1 pound, so 13 pounds of sugar equal 13 * 11 = 143 cups of sugar.
2. Each batch of black and white cookies requires 3 cups of sugar, which means 250 cookies will require 250 / 5 * 3 = 150 cups of sugar.
Since Mario only has 143 cups of sugar, he doesn't have enough to bake 250 black and white cookies.
Next, let's calculate how many whole batches of black and white cookies Mario can make with the available sugar.
3. Mario has 143 cups of sugar, and each batch requires 3 cups, so he can make 143 / 3 = 47.67 batches.
Since Mario can't make a fraction of a batch, he will be able to make 47 whole batches of black and white cookies.
Now let's determine how many cookie boxes Mario will need to package the cookies he bakes.
4. Each batch produces 5 black and white cookies, and Mario will bake a total of 250 cookies. So, he will need 250 / 5 = 50 batches of cookies.
5. Mario has 5 dozen cookie boxes, and each box holds 4 cookies. Therefore, he can pack 5 * 12 / 4 = 15 batches of cookies.
So, Mario will use 15 cookie boxes to package the black and white cookies he bakes.
Finally, let's calculate how much Mario will earn if he sells all the boxes of cookies.
6. Each box of cookies costs $27.85, and Mario will sell 15 boxes. So, he will earn 27.85 * 15 = $417.75.
Therefore, Mario will earn $417.75 if he sells all the boxes of cookies.
To find out if Mario has enough sugar to bake 250 black and white cookies, we first need to calculate how much sugar is needed for one batch of cookies.
Given that there are approximately 11 cups of sugar in a pound and Mario has 13 pounds of sugar, we can calculate how many cups of sugar Mario has in total:
13 pounds * 11 cups/pound = 143 cups of sugar
Since each batch of black and white cookies requires 3 cups of sugar, we can calculate how many batches Mario can make:
143 cups of sugar / 3 cups per batch = 47.67 batches
Since Mario cannot have a fraction of a batch, he can make a maximum of 47 whole batches of black and white cookies.
Now, let's determine how many cookie boxes Mario needs to package all the cookies he bakes:
If each batch of cookie dough makes 5 large black and white cookies, we can calculate the total number of cookies Mario can bake:
47 batches * 5 cookies per batch = 235 cookies
Since each cookie box holds 4 black and white cookies, we can calculate how many cookie boxes Mario needs:
235 cookies / 4 cookies per box = 58.75 boxes
Since Mario cannot have a fraction of a box, he needs 59 whole cookie boxes to package all the cookies.
The total number of cookie boxes Mario uses will be between 59 and 59+5+5=69 (since he can produce at most 47 batches + 5 batches + 5 batches = 57 batches, which is 228 cookies, and then he would need an additional 1 box for the remaining 7 cookies).
Finally, to calculate how much Mario will earn if he sells all the boxes of cookies, we multiply the total number of boxes by the price per box:
59 boxes * $27.85 per box = $1,642.15
Therefore, if Mario sells all the boxes of cookies, he will earn $1,642.15.