SOLUTION: the ratio x:y = 1:2 and the ratio y:z = 4:5 what is the ratio x:z?

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Question 602453: the ratio x:y = 1:2 and the ratio y:z = 4:5
what is the ratio x:z?
Found 2 solutions by jim_thompson5910, ewatrrr:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x:y = 1:2

x/y = 1/2
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y:z = 4:5

y/z = 4/5

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Now multiply the first equation by the second equation. You do this by multiplying each corresponding side separately.

(x/y)*(y/z) = (1/2)*(4/5)

(xy)/(yz) = (1*4)/(2*5)

x/z = 4/10

x/z = 2/5

x:z = 2:5

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

the ratio x:y = 1:2 and the ratio y:z = 4:5 

x%2Fy+=+1%2F2 or by Cross Multiplying,   y = 2x

2x%2Fz+=+4%2F5 or x%2Fz+=+2%2F5 

the ratio x:z is 2:5