Given: The ratio of red shirt to blue shirt to be 5:3
To Determine: each of the statement are possible or impossible or always true
Solution
Examine each of the statement
Statement 1: There are exactly 20 more red shirts blue shirts in a shipment
We were not given the total number of shirt in the shipment. Therefore, the statement is impossible
Statement 2: There are 5 times as many as red shirts as blue shirts in a shipment
The ration is 5:3 and not 5:1. Therefore, the statement is impossible
Statement 3: A shipment has exactly 35 red shirts and exactly 21 shirts
It can be seen that 35 ratio 21 is equivalent to 5:3. Even though we do not the exact number of shirts in the shipment. Then, we conclude based on this, the statement given is: possible
Statement 4: A shipment has exactly 16 red shirts
Because, we do not know the exactly shirts in the shipment. The statement might be true or not.
Therefore, the statement is possible
Statement 5: There are 3 blue shirts for every 8 shirts in the shipment
The total ratio given is
So, we can conclude that there are 3 blue shirts for every 8 shirts in the shipment is always truth