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if x is 2/3 of y and y is 3/4 of z, what is the value of z:x

if x is 2/3 of y and y is 3/4 of z, what is the value of z:x

Solutions

Expert Solution

in this question, we are given the value of x as 2/3 that of y. we can therefore express x in terms of y as shown below:

x=(2/3)y........................(i)

then, we have the value of y given as 3/4 that of z. we can therefore express y in terms of z as shown below:

y=(3/4)z...........................(ii)

to get the relationship between x and z, we replace the value of y from the second equation in the first equation as shown below:

x=(2/3)(3/4)z

after multiplying the two fractions, we get the relationship between x and z as:

x=(1/2)z

the value x is a half that  of z.

we therefore have the ratio of z:x as 1:2

 

 

the ratio of z:x is 1:2

joseph irungu answered 2 years ago
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