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Katarina [22]
4 years ago
10

The ratio of rock music to total CDs that Ella owns is 25/40. Paolo has 50 rock music CDs. The ratio of rock music to total CDs

in the collection is equal to the ratio of rock music to total CDs in Ella's collection. How many CDs do they own?
Mathematics
2 answers:
alexdok [17]4 years ago
8 0
\frac{25}{40} = \frac{50}{x}\\\\\ Cross\ multiply.\\\\25\times x=50\times40\\\\25x=2000\\\\ Divide\ by\ 25\ on\ both\ sides.\\\\x=80\\\\40+80={\boxed{120}
eimsori [14]4 years ago
3 0
They own a total of 120 CDs. Ella's CD is 40 while Paolo's CD is 80.

Given:
Ella's ratio of rock music to total CDs = 25/40
Paolo's ratio of rock music to total CDs = 50/x

25/40 = 50/x
25x = 40*50
25x = 2000
25x/25 = 2000/25
x = 80 

Total CDs
Ella           =   40
Paolo        =   80
Total CDs = 120
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3 years ago
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Anastaziya [24]

[~Answer~] (3.):

Hello there! I'm Avery, and I'm here to help you! I mostly believe the answer <em>Could be: (the answer is in the screenshot. I couldn't write it, so I typed it.)  </em>

<em>
</em>+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
[~Answer Explanation~]:

1:

Combine multiplied terms into a single fraction

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Find common denominator

3:

Combine fractions with common denominator

4:

Multiply the numbers

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Re-order terms so constants are on the left

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Combine exponents

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Rearrange terms

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Find common denominator

9:

Combine fractions with common denominator

10:

Re-order terms so constants are on the left

11:

Rearrange terms

12:

Multiply all terms by the same value to eliminate fraction denominators

13:

Cancel multiplied terms that are in the denominator

14:

Distribute

15:

Move terms to the left side

16:

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+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
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Okay, I really hope my answer is correct.

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Answer:

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Step-by-step explanation:

Given the statement:

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