PS- Needs u to think bt still doesnt come

[poonamchiK]

In year 2000, Y imported machine tools accounted for 25% of total machine-tool sales in the UK and Japanese imports accounted for 45% of theof the salesof imported machine tools.If the total sales of imported machine tools from Japan that year was x billion dollars, then the total sales for all machine tools in the UK was how many billion?
a. 9x/80
b. 13x/20
c. 80/9x
d. 20x/13
e. 80x/9

correct ans : e
bt i am lost
i did guess work and poe bt it took me way toooo long to get there!

[bachiter]

In year 2000, Y imported machine tools accounted for 25% of total machine-tool sales in the UK and Japanese imports accounted for 45% of theof the salesof imported machine tools.If the total sales of imported machine tools from Japan that year was x billion dollars, then the total sales for all machine tools in the UK was how many billion?
a. 9x/80
b. 13x/20
c. 80/9x
d. 20x/13
e. 80x/9

correct ans : e
bt i am lost
i did guess work and poe bt it took me way toooo long to get there!

ANS:

Hi, it goes like this...
suppose the total sales in UK was y
25% of y was the no. imported tools
further, 45% of the imported tools were from Japan, which is x.
Thus, 25% of 45% of y = x.
Mathematically, 0.25*0.45*y=x.
therefore, y=(80/9)x.
that's it...

[Ben Ku]

Please cite the source (author) of this problem. We cannot reply unless a source is cited (and, if no source is cited, we will have to delete the post!). Thanks.