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?
If there are x bundles,
x/3 are morning
2 = afternoon
That leaves 2x/3 - 2, of which
x/3 - 1 are regional
1 is local
1 is out of state
Add them up to get
x/3 + 2 + x/3 - 1 + 1 + 1 = x
2x/3 +3 = x
3 = x/3
x = 9
Let's break it down step by step:
Step 1: Calculate the number of morning edition bundles
Given that 1/3 of the bundles are the morning edition of The Daily Sun, we can calculate it as:
Morning edition bundles = (1/3) * Total bundles
Step 2: Calculate the number of afternoon edition bundles
Given that there are 2 bundles of the afternoon edition of The Daily Sun, we don't need any additional calculations. It is already given.
Step 3: Calculate the number of remaining bundles
To calculate the remaining bundles, we need to subtract the morning and afternoon edition bundles from the total first.
Remaining bundles = Total bundles - Morning edition bundles - Afternoon edition bundles
Step 4: Calculate the number of regional bundles
Given that 1/2 of the remaining bundles are regional, we can calculate it as:
Regional bundles = (1/2) * Remaining bundles
Step 5: Calculate the number of local bundles
Given that one of the remaining bundles is the local newspaper, we don't need any additional calculations. It is already given.
Step 6: Calculate the number of bundles from another state
Given that one of the remaining bundles is from another state, we don't need any additional calculations. It is already given.
Step 7: Calculate the total number of bundles delivered daily
To calculate the total number of bundles delivered daily, we need to add up all the different types of bundles:
Total bundles = Morning edition bundles + Afternoon edition bundles + Regional bundles + Local bundles + Bundles from another state
Please provide the value for "Total bundles" so that we can calculate the answer.
To determine the total number of bundles delivered daily to the store, we can add up the fractions given for each type of newspaper.
First, let's find the total number of morning edition bundles of The Daily Sun. We are told that 1/3 of the bundles consist of the morning edition. Since we don't have a specific number for the total, let's use a variable. Let's call the total number of bundles "x". So, the number of morning edition bundles is (1/3)x.
Next, we are told that 2 bundles are made up of the afternoon edition of The Daily Sun. So we add 2 to our previous count.
Now, let's find the number of remaining bundles. We are told that 1/2 of the remaining bundles are regional, so we have (1/2) of the remaining bundles. Additionally, we are told one bundle is a local newspaper and one is from another state. Therefore, the remaining bundles can be represented as (1/2)x + 1 + 1.
To find the total number of bundles, we add up all these quantities:
(1/3)x + 2 + (1/2)x + 1 + 1 = x
Combining like terms:
(1/3)x + (1/2)x + x = 2 + 1 + 1
To simplify, we need to find a common denominator. The least common multiple of 3 and 2 is 6. So, we can rewrite the equation as:
(2/6)x + (3/6)x + x = 4
Combining like terms again, we get:
(5/6)x + x = 4
Adding the fractions:
(5/6)x + (6/6)x = 4
Multiplying both sides by 6 to eliminate the denominator:
5x + 6x = 24
Combining like terms:
11x = 24
Dividing both sides by 11 to solve for x:
x = 24/11
Therefore, the total number of bundles delivered daily to the store is approximately 2.182 bundles. Since we're dealing with a discrete quantity (bundles), we can round up to 3 bundles.