Final answer:
A machine in a soft drink factory can fill 1680 bottles in 8 hours. To find out how many bottles it will fill in 5 hours, we can use the concept of proportionality.
Step-by-step explanation:
To find out how many bottles the machine in a soft drink factory will fill in 5 hours, we can use the concept of proportionality. If the machine can fill 1680 bottles in 8 hours, we can set up a proportion:
1680 bottles / 8 hours = x bottles / 5 hours
Cross multiplying, we get:
8(x) = 1680(5)
8x = 8400
x = 1050
Therefore, the machine will fill 1050 bottles in 5 hours.