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In a box of fruits, the ratio of apples and mangoes is 5:3. And the ratio of apples to oranges is 2:1. Find in its simplest form, the ratio of oranges to mangoes.

If there are 36 mangoes, how many apples and how many oranges are there?

Sagot :

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First, get the given.

[tex]Apples : Mangoes = 5 : 3[/tex]

[tex]Apples : Oranges = 2 : 1[/tex]

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Second, find the ratio of oranges to apples.

[tex]Apples : Oranges = 2 : 1[/tex]

This means that the ratio of oranges to apples is:

[tex]1 : 2[/tex]

So, the ratio of mangoes to apples is 3 : 5. So, the ratio of oranges to mangoes is 1 : 2.

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Third, if there are 36 mangoes, find the number of apples and oranges.

Number of apples:

[tex]36 \times (5/3) = 60[/tex]

Number of oranges:

[tex]36 \times (1/3) = 12[/tex]

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So, there are 60 apples and 12 oranges in the box.