If x:y=9/2:16/3
AND y:z=25/4:17/2, find x:y:z
Question of proportional parts please Answer
Find the relation between x&y,y&z,then x&z, x=9/2,when y=16/3,then (32/27)x=y,also y=25/4,when z=17/2,then z=(34/25)y,
Therefore z= (34/25)*(32/27)x=(1088/675)x.Hence x:y:z= x:(32/27)x:(1088/675)x,dividng through by x,you get x:y:z
Note your ans should be: 675:800:1088=x:y:z,when you multiply through by 675
thanks stevium
I would do it this way:
x : y = 9/2 : 16/3 = 27 : 32
y : z = 25/4:17/2 = 25 : 34
The LCM(32,25) = 800
x:y = 675:800
y:z = 800:1088
x:y:z = 675 : 800 : 1088
To find the ratio x:y:z, we need to combine the given proportions and solve for x,y, and z individually.
Given:
x:y = 9/2:16/3
y:z = 25/4:17/2
Step 1: Simplify the given proportions.
x:y = (9/2)/(16/3) = (9/2) * (3/16) = 27/32
y:z = (25/4)/(17/2) = (25/4) * (2/17) = 25/34
Step 2: Combine the simplified proportions.
x:y:z = (27/32):(25/34)
Step 3: Find a common denominator for the fractions.
Since 32 and 34 share a common factor of 2, we can simplify further.
x:y:z = (27/32):(25/34)
= (27/32) * (34/34):(25/34) * (32/32)
= 918/1088:800/1088
Step 4: Simplify the ratio by dividing both sides by their greatest common divisor.
The greatest common divisor of 918 and 1088 is 34.
x:y:z = 918/1088:800/1088
= (918/34)/(1088/34):(800/34)/(1088/34)
= 27/32:25/34
Therefore, x:y:z = 27/32:25/34.