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?
B=bundles
1/3 B+2+1/2(B-1/3 B-2)+1+1=B
check that.
To find the total number of bundles delivered daily to the bookstore, we need to add up the different types of bundles.
First, let's calculate the number of bundles for The Daily Sun:
- 1/3 of the bundles consist of the morning edition, which means there is 1 bundle for every 3 bundles.
- 2 bundles are made up of the afternoon edition.
So, the total number of bundles for The Daily Sun is: 1/3 + 2 = 1/3 + 2/1 = 1/3 + 6/3 = 7/3 bundles.
Now, let's calculate the number of regional, local, and out-of-state bundles:
- The remaining bundles (after The Daily Sun) consist of regional, local, and out-of-state bundles.
- 1/2 of the remaining bundles are regional, meaning there is 1 bundle for every 2 bundles.
- There is one local newspaper bundle.
- There is one out-of-state bundle.
So, the total number of regional, local, and out-of-state bundles is: 1/2 + 1 + 1 = 1/2 + 2/2 + 2/2 = 5/2 bundles.
To find the total number of bundles delivered daily to the bookstore, we add the bundles for The Daily Sun and the regional, local, and out-of-state bundles together:
7/3 bundles + 5/2 bundles = (7/3 * 2/2) + (5/2 * 3/3) = 14/6 + 15/6 = 29/6 bundles.
Therefore, there are 29/6 bundles delivered daily to the bookstore.