Of the bundles delivered daily to the store, 1/3 consists of the morning edition of The Daily Sun. Another 2 bundles are made up of the afternoon edition of the same paper. Of the remaining bundles, 1/2 is regional, one is a local newspaper, and one is from another state. How many bundles are delivered daily to the bookstore?
Let's work backwards. The papers from another state and the local make 2 bundles. Double that to include the regional--we now have 4. Add 2 more bundles for the afternoon edition. We now have 6. Since 6 represents 2/3rds of the bundles after the morning edition, we multiply that by 3/2, and we get 9 bundles for the day ☺☺☺☺
To determine the number of bundles delivered daily to the bookstore, we will calculate the sum of all the different types of bundles.
Let's break down the given information:
- 1/3 of the bundles consist of the morning edition of The Daily Sun.
- 2 bundles are made up of the afternoon edition of The Daily Sun.
- 1/2 of the remaining bundles are regional.
- 1 bundle is a local newspaper.
- 1 bundle is from another state.
First, we need to find the total number of bundles from The Daily Sun by adding the morning and afternoon editions:
1/3 (morning edition) + 2 (afternoon edition) = 1/3 + 2 = 2 1/3 = 7/3
Next, we calculate the total number of regional bundles:
1/2 (remaining bundles) + 1 (local newspaper) + 1 (other state) = 1/2 + 1 + 1 = 3/2 + 1 = 5/2
Finally, we add the bundles from The Daily Sun and the the other regional bundles:
7/3 (The Daily Sun) + 5/2 (remaining bundles) = (7/3) + (5/2)
To find the common denominator, we multiply 3 and 2:
(7/3) + (5/2) = (7/3) * (2/2) + (5/2) * (3/3) = 14/6 + 15/6
Now, we can add the fractions together:
(14/6) + (15/6) = (14 + 15)/6 = 29/6
Since the question is asking for the number of bundles delivered daily, we round up the fraction to the nearest whole number, as it is not possible to deliver a fraction of a bundle.
Therefore, the number of bundles delivered daily to the store is 5.