27 November, 13:34

# Morgan and Kira have a number of jelly beans in a ratio of 5 : 3. Kira and Mann have a number of jelly beans in a ratio of 6 : 1. What is the ratio of Morgan's jelly beans to Mann's?

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1. 27 November, 14:22
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Morgan 10:1 Mann

Step-by-step explanation:

In this scenario,

Morgan has 5 jelly beans for every 3 that Kira has,

Kira has 6 jelly beans for every 1 that Mann has.

Therefore, we can multiply both Morgan and Kira's jellybean count by 2 to match Kira's ratio with Mann while still maintaining the ratio with Morgan like so

Morgan 10 : : 6 Kira

Kira 6 : : 1 Mann

Now that we have the same amount for Kira we can see that the Ratio between Morgan and Mann is 10:1
2. 27 November, 15:01
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5:3 and 6:1

The 3 and 6 here represent the same number of sweets because they are for the same person, so you need to find a common multiple of these two numbers.

The lowest one is 12. This means the ratios now become:

20:12 and 12:2

This means the ratio of Morgan's to Mann's is 20:2