Read the following information carefully and answer the question give...
Given Information:
- There are three types of stores: retail, online, and door-to-door.
- 72% of people work in retail stores.
- The number of people working in only door-to-door stores is 1/36th of the number of people working in retail stores.
- The number of people working in both door-to-door and online stores, but not in retail stores, is 55.
- The number of people working in only online stores is 65 more than the number of people working in only door-to-door stores.
- The number of people working in only retail stores is 160/3% more than the number of people working in online stores.
Calculating the Number of People:
Let's assume the total number of people working in all three types of stores is 'x'.
- 72% of x work in retail stores, which means 0.72x people work in retail stores.
- The number of people working in only door-to-door stores is 1/36th of the number of people working in retail stores, so it is (1/36) * 0.72x = 0.02x.
- The number of people working in both door-to-door and online stores, but not in retail stores, is given as 55.
- The number of people working in only online stores is 65 more than the number of people working in only door-to-door stores, so it is 0.02x + 65.
- The number of people working in only retail stores is 160/3% more than the number of people working in online stores, so it is 1.6 * (0.02x + 65).
Equation:
To find the number of people working in online stores only, we can set up the following equation:
x = 0.72x + 0.02x + 55 + 1.6 * (0.02x + 65)
Solving the Equation:
Let's solve the equation to find the value of x, which represents the total number of people:
x = 0.72x + 0.02x + 55 + 1.6 * (0.02x + 65)
1x - 0.72x - 0.02x - 1.6 * 0.02x = 55 + 1.6 * 65
0.26x - 0.032x = 55 + 104
0.228x = 159
x = 159 / 0.228
x ≈ 697.37
Therefore, the total number of people working in all three types of stores is approximately 697.37.
Calculating the Number of People Working in Online Stores Only:
Now, let's find the number of people working in online stores only:
Number of people working in online stores only = 0.02x + 65
Number of people working in online stores only = 0.02 * 697.37 + 65
Number of people working in online stores only ≈ 13.95 + 65
Number of people working in online stores only ≈ 78.95
Therefore, the number of people working in online stores only is approximately 78.95, which can be rounded to
Read the following information carefully and answer the question give...
According to the question,
Number of people work in retail, online and door to door stores.
People working in online and door to door but not in retail are 55.
So, let us assume the total number of people = 100x
Therefore, people working in Retail stores = 72x
Let, people working in only door to door = 2x
People working in only online store = 2x + 65
People working in online and door to door but not in retail = 55
According to question, (100x – 72x – 2x) – (2x + 65) = 55
24x – 65 = 55
24x = 120
x = 5
People working in online store only
= 2x + 65
= 2(5) + 65
= 10 + 65 = 75