document.write( "Question 1121117: Ade,Lanre, Samson and Jude rented a house and agreed to share the rent as follows Ade:Lanre =8:15, Lanre :Samson = 5:8 and Samson and Jude = 4:5. The part of rent paid by Samson will be ?
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #736889 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "The given ratios are

\n" ); document.write( "A:L = 8:15
\n" ); document.write( "L:S = 5:8
\n" ); document.write( "S:J = 4:5

\n" ); document.write( "To compare the shares of all 4 of them, multiply the ratios by constants as appropriate to get the same numbers for the same people.

\n" ); document.write( "For example, for S we have

\n" ); document.write( "A:L = 8:15 and L:S = 5:8

\n" ); document.write( "Multiply the second ratio by 3 so that \"L\" is 15 in both:

\n" ); document.write( "A:L = 8:15 and L:S = 15:24

\n" ); document.write( "Then we know

\n" ); document.write( "A:L:S = 8:15:24

\n" ); document.write( "Now we have

\n" ); document.write( "L:S = 15:24 and S:J = 4:5

\n" ); document.write( "Multiply the second ratio by 6 so that \"S\" is 24 in both:

\n" ); document.write( "L:S = 15:24 and S:J = 24:30

\n" ); document.write( "So now we know

\n" ); document.write( "L:S:J = 15:24:30

\n" ); document.write( "Put it all together and we have

\n" ); document.write( "A:L:S:J = 8:15:24:30

\n" ); document.write( "So the portion of the rent that Samson will pay is 24/(8+15+24+30) = 24/77. \n" ); document.write( "
\n" );