"Question 4 A machine in a soft drink factory fills 840 bottles in six hours. How many bottles will it fill in five hours?
Class 8 Direct and Inverse Proportions Page 208"
Answers
Direct variation:
If two quantities increase or decrease together in such a manner that the ratio of their corresponding values remain constant, we say that the two quantities vary directly.
In other words x and y are said to vary directly if X/y = k , where k is a positive constant.
In direct Proportion
x/y= k
x=ky
So we can find value of k from known values, and then use the formula to calculate the unknown values
Inverse variation:
Two quantities x and y are said to vary inversely or indirectly if an increase in x causes a decrease in y and a decrease in X causes an increase in y in such a way that xy remains constant.
In other words x and y are said to vary indirectly if x y = k, where K is a positive constant.
In inverse Proportion
xy= k
x=k/y
So we can find value of k from known values, and then use the formula to calculate the unknown values
When two quantities x and y are in direct proportion (or vary directly) they are also written as x∝y.
When two quantities x and y are in inverse proportion (or vary inversely) they are also written as x∝ 1/y
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Solution:
[Table is in the attachment]
Let the number of bottles filled in 5 hours be ‘x’
Hence ratio of bottles filled and time (hours) are in direct proportion.
6/840=5/x
⇒6×x=5×840
⇒x=(5× 840)/6
X= 5× 140= 700 bottles
Hence, the machine will fill 700 bottles in 5 hours.
==========================================================Hope this will help you...
Answer:
700
Step-by-step explanation:
It is direct Proportion
no of bottles (x) = 840bottles
Hours(y) = 6hours
no of bottles (x) = x
Hours(y) = 5hours
840/6=x/5
840/6*5/1=x
140*5=x
x=700 Bottles