Findthemissingtermsineachofthefollowing
20:m:4=p:5:1
To find the missing terms in the given equation, we can set up a proportion:
20 : m :: 4 : p :: 5 : 1
The proportion shows that 20 is to m as 4 is to p, and 4 is to p as 5 is to 1.
To find the missing terms, we can set up equations using cross multiplications:
20 * p = m * 4
4 * 5 = p * 1
Simplifying these equations:
20p = 4m
20 = p
Now, we can solve for the missing terms.
From the equation 20p = 4m, we can divide both sides by 4:
5p = m
So, the missing terms are m = 5p, and p = 20.
To find the missing terms in the proportion:
20 : m :: 4 : p :: 5 : 1
We can set up two proportions:
20/m = 4/p and 4/p = 5/1
To find the missing term 'm', we need to cross-multiply the first proportion:
20 * p = 4 * m
We can rearrange this equation to solve for 'm':
m = (20 * p) / 4
To find the missing term 'p', we need to cross-multiply the second proportion:
4 * 1 = p * 5
This simplifies to:
4 = 5p
To solve for 'p', divide both sides of the equation by 5:
p = 4 / 5
So, the missing terms are:
m = (20 * p) / 4
p = 4 / 5