SOLUTION: can you tell me the steps for solving 30/x=8/15 ? many thanks

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Question 145377: can you tell me the steps for solving 30/x=8/15 ?
many thanks
Found 3 solutions by jim_thompson5910, josmiceli, ankor@dixie-net.com:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

30%2Fx=8%2F15 Start with the given ratio


30=%288%2F15%29%2Ax Multiply both sides by x

30%2A15=8%2Ax Multiply both sides by 15

450=8%2Ax Multiply

450%2F8=x Divide both sides by 8


225%2F4=x Simplify



So our answer is x=225%2F4 which is x=56.25 in decimal form

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
30%2Fx+=+8%2F15
First multiply both sides by x
x%2A%2830%2Fx%29+=+x%2A%288%2F15%29
On the left side, the xs cancel
30+=+x%2A%288%2F15%29
Now multiply both sides by 15
15%2A30+=+15x%2A%288%2F15%29
The 15s on the right side cancel
450+=+8x
Divide both sides by 8
x+=+225%2F4
-----------------
Now to check
30%2Fx+=+8%2F15
30%2F%28225%2F4%29+=+8%2F15
Multiply both sides by 225%2F4
30+=+%28225%2F4%29%2A%288%2F15%29
Now divide 225 by 15
30+=+%2815%2F4%29%2A8
Divide 8 by 4
30+=+15%2A2
30+=+30
OK

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
can you tell me the steps for solving
30%2Fx = 8%2F15
just cross multiply and solve for x
8x = 30*15
:
8x = 450
x = 450%2F8
x = 561%2F4
;
:
Check solution using x = 56.25, using a calc:
30%2F56.25 = 8%2F15
.5333 = .5333