If x is 2/3 of y and y is 3/4 of z, what is the ratio of z : x ?
(A) 1:2
(B) 1:1
(C) 2:1
(D) 3:2
(E) 4:3
Need help setting up this equation
Thanks!
Fractions / Ratios
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y = 3/4zdheaven1 wrote:If x is 2/3 of y and y is 3/4 of z, what is the ratio of z : x ?
(A) 1:2
(B) 1:1
(C) 2:1
(D) 3:2
(E) 4:3
Need help setting up this equation
Thanks!
4/3y=z
z : x = 4/3y : 2/3y = 2:1 (C)
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If x is 2/3 of y and y is 3/4 of z, what is the ratio of z : x ?
Sometimes it is better not to take the eq route
I ) 3x = 2y from x is 2/3 y and
II) 4y = 3z from y is 3/4 of z
y is the link between Iand II
so I can also be 6x = 4y ( multiply by 2) or = 3z
z/x=2
Sometimes it is better not to take the eq route
I ) 3x = 2y from x is 2/3 y and
II) 4y = 3z from y is 3/4 of z
y is the link between Iand II
so I can also be 6x = 4y ( multiply by 2) or = 3z
z/x=2
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x=(2/3)y
y=(3/4)z=> z=(4/3)y
now (z/x) =
{(4/3)y/(2/3)y} =>(4/3)*(3/2)=2
hence C
y=(3/4)z=> z=(4/3)y
now (z/x) =
{(4/3)y/(2/3)y} =>(4/3)*(3/2)=2
hence C
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