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The ratio rock music to total CDs that Ella Owens is 15/40. Paolo has 50 rock music CDs the ratio of rock music to total CDs in his collection is equivalent to the ratio of rock music to total CDs in ours collection how many CDs do they own ? Explain ?

Respuesta :

Answer: There are 184 total number of CDs they own.

Step-by-step explanation:

Since we have given that

Ratio of rock music to total CDs that Ella Owens is

[tex]15:40\\\\=3:8[/tex]

Now, Number of rock music CDs Paolo has = 50

According to question, the ratio of rock music to total CDs in his collection is equivalent to the ratio of rock music to total music to total CDs in ours collection,

[tex]15:40=3:8[/tex]

Let the total number of CDs be x

So, our equation becomes,

[tex]\frac{3}{11}\times x=50\\\\x=\frac{50\times 11}{3}\\\\x=\frac{550}{3}\\\\x=183.34[/tex]

Hence, there are 184 total number of CDs they own.

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