at a certain factory each worker either drives to work or take the bus. the ratio of worker who take the bus to those who drive to work is 2:5. if 120 worker drive to work how many workers are there at the factory?
2/5 = x/120
5x = 240
x = 48
120 + 48 = ?
168
To solve this problem, we need to use the given information to determine the total number of workers at the factory.
Let's denote the number of workers who take the bus as 2x, where x is a common multiplier, and the number of workers who drive to work as 5x.
According to the information given, 120 workers drive to work. Using this information, we can set up an equation:
5x = 120
Now, we can solve for x by dividing both sides of the equation by 5:
x = 120 / 5
x = 24
Now that we have the value of x, we can find the total number of workers at the factory by substituting this value back into the equation:
Total number of workers = Number of workers who drive + Number of workers who take the bus
Total number of workers = 5x + 2x
Total number of workers = 5(24) + 2(24)
Total number of workers = 120 + 48
Total number of workers = 168
Therefore, there are 168 workers at the factory.
To find the total number of workers at the factory, we can use the given ratio of workers who take the bus to those who drive to work.
Let's assume the number of workers who take the bus is 2x, where x is a constant.
Given that the ratio of workers who take the bus to those who drive to work is 2:5, we can set up the equation:
(2x) / (5x) = 2 / 5
Cross-multiplying, we get:
5 * (2x) = 2 * (5x)
10x = 10x
Since the equation is satisfied for any value of x, we can choose any value that makes the calculations easier. In this case, let's set x = 12. (This is an arbitrary choice, and any other value of x would give us the same result.)
Thus, the number of workers who take the bus is 2x = 2 * 12 = 24.
Now, we are given that 120 workers drive to work. Therefore, the total number of workers can be calculated by adding the number of workers who drive to work (120) to the number of workers who take the bus (24):
Total number of workers = 120 + 24 = 144
Hence, there are 144 workers at the factory.