Question

4 people are sharing rent. You only know what each pay's as a set of ratios: Dorian's rent to Baptiste's is in the ratio 15:1 . Claire's rent to Dorian's is in the ratio 5:1 . Alexia's rent to Claire's is in the ratio 1:15. What is the fraction that represents Claire's share of the total?

Answer 1

Answer:

3/4

Step-by-step explanation:

Dorian's rent to Baptiste's = 15 : 1  

Claire's rent to Dorian's = 5 : 1

Alexia's rent to Claire's = 1 : 15

Multiply 3:

3 x Claire's rent to Dorian's = 5 : 1 ⇒ 15 : 3

Find Claire's :  Dorian's : Baptiste's:

Claire's rent to Dorian's = 15 : 3

Dorian's rent to Baptiste's = 15 : 1  

⇒  Claire's :  Dorian's : Baptiste's = 15 : 3 : 1

Find Claire's : Dorian's : Baptiste's : Alexia's :

Claire's :  Dorian's : Baptiste's = 15 : 3 : 1

Alexia's rent to Claire's = 1 : 15

⇒ Claire's : Dorian's : Baptiste's : Alexia's  = 15 : 3 : 1 : 1

Find the total parts:

Total parts = 15 + 3 + 1 + 1 = 20

Find Claire's share of the total:

Fraction = 15/20 = 3/4

Answer: 3/4