SOLUTION: 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 wi

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: 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 wi      Log On


   

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 ?
Answer by greenestamps(13200) About Me  (Show Source):
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The given ratios are

A:L = 8:15
L:S = 5:8
S:J = 4:5

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.

For example, for S we have

A:L = 8:15 and L:S = 5:8

Multiply the second ratio by 3 so that "L" is 15 in both:

A:L = 8:15 and L:S = 15:24

Then we know

A:L:S = 8:15:24

Now we have

L:S = 15:24 and S:J = 4:5

Multiply the second ratio by 6 so that "S" is 24 in both:

L:S = 15:24 and S:J = 24:30

So now we know

L:S:J = 15:24:30

Put it all together and we have

A:L:S:J = 8:15:24:30

So the portion of the rent that Samson will pay is 24/(8+15+24+30) = 24/77.