Carlos is having a bake sale, he begins with one tray of brownies. [cut into 15 pieces] and 18 cookies. He sells 1/3 of the brownies, and 1/6 of the cookies. He is then given a box of 12 tasty cakes to sell. He sells 3/4 of the box, how much of each food will he have left? What is the total percentage of items that he sold that day?
To solve this problem, we will calculate the remaining amount of each food item and then determine the total percentage of items sold.
First, let's calculate the remaining amount of brownies:
Carlos starts with 1 tray of brownies, which is cut into 15 pieces.
He sells 1/3 of the brownies, so he will have (1 - 1/3) * 15 = (2/3) * 15 = 10 pieces of brownies remaining.
Next, let's calculate the remaining amount of cookies:
Carlos starts with 18 cookies.
He sells 1/6 of the cookies, so he will have (1 - 1/6) * 18 = (5/6) * 18 = 15 cookies remaining.
Now, let's calculate the remaining amount of tasty cakes:
Carlos is given a box of 12 tasty cakes to sell.
He sells 3/4 of the box, so he will have (1 - 3/4) * 12 = (1/4) * 12 = 3 tasty cakes remaining.
Combining the results, Carlos will have:
- 10 pieces of brownies remaining
- 15 cookies remaining
- 3 tasty cakes remaining
To calculate the total percentage of items sold, we will compare the number of items sold to the total number of items Carlos had at the beginning (brownies + cookies + tasty cakes).
Items sold:
- Brownies sold: (1/3) * 15 = 5 pieces
- Cookies sold: (1/6) * 18 = 3 cookies
- Tasty cakes sold: (3/4) * 12 = 9 tasty cakes
Total items Carlos had:
- Initial brownies: 15 pieces
- Initial cookies: 18 cookies
- Initial tasty cakes: 12 tasty cakes
Total items sold: 5 + 3 + 9 = 17
Total number of items Carlos had: 15 + 18 + 12 = 45
Now, let's calculate the total percentage of items sold:
Percentage of items sold = (Total items sold / Total number of items Carlos had) * 100
= (17 / 45) * 100
= 37.78% (rounded to two decimal places)
To summarize:
Carlos will have 10 pieces of brownies, 15 cookies, and 3 tasty cakes remaining.
The total percentage of items sold is approximately 37.78%.