Question

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The ratio of the number of Mimi’s Eminem CDs to the number of Rita’s Eminem CDs is 5:8. Rita has 18 more Eminem CDs than Mimi. If Rita gives 22 CDs to Mimi, what will be the new ratio of the number of Mimi’s Eminem CDs to Rita’s CDs?

Answer 1

let Rita has X CDs.

Then Mimi has x-18 CDs.

A.T.Q.

$\frac{x - 18}{x} = \frac{5}{8}$

$8x - 144 = 5x$

$x = 48$

Rita has 48 CDs and Mimi has 48-18=30 CDs.

Now,

Case 2 :-

Rita has 48-22= 26 CDs .

Mimi has 30+22= 52 CDs.

Required Ratio = 52:26 = 2:1 (Mimi:Rita)

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Answer 2

Answer:

The original ratio of Mimi's Eminem CDs to Rita's Eminem CDs is 5:8. After Rita gives 22 CDs to Mimi, the new ratio becomes 2:1.

Step-by-step explanation:

Let us assume that the number of Mimi's Eminem CDs and Rita's Eminem CDs are 5x and 8x, respectively. According to the given conditions, we can form two equations:

8x - 5x = 18 (Rita has 18 more CDs than Mimi)

3x = 18

x = 6

Therefore, Mimi has 5x = 30 Eminem CDs, and Rita has 8x = 48 Eminem CDs.

When Rita gives 22 CDs to Mimi, Mimi will have 30 + 22 = 52 CDs, and Rita will have 48 - 22 = 26 CDs.

The new ratio of the number of Mimi's Eminem CDs to Rita's CDs is 52:26, which simplifies to 2:1.

This problem involves the concepts of ratios, equations, and arithmetic operations, which are fundamental concepts in mathematics.

For more such question: https://brainly.in/question/23847810

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