# Ratio of the number of oranges to the total number of fruits in the basket?

Please could you give a few examples of how to solve this? Thank you.

A basket contains 3/8 as many oranges as apples and 3/4 as many oranges as pears.

Relevance

For every 3 oranges there are 8 apples. For every 3 oranges there are 4 pears. So the relative quantites of fruit are

3 oranges

4 pears

8 apples

• Colton2 months agoReport

I feel stupid.  When you say it like that, it's so obvious :-/

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• A basket contains 3/8 as many oranges as apples

and 3/4 as many oranges as pears.

Ratio of the number of oranges to the total number of fruits in the basket:

a = # of apples

3/8(a) = # of oranges

p = # of pears

3/4(p) = # of oranges

(3/8)a = (3/4)p

(3/8)/(3/4) = p/a

(3/8)(6/8) = p/a

3/6 = p/a

1/2 = p/a

The ratio of pears to apples is 1 to 2

If there are 4 pears there are 8 apples

(3/8)(8) = 3 oranges

there are 4 pears

(3/4)(4) = 3 oranges again

8 apples, 3 oranges, 4 pears

15 pieces of fruit and 3 are oranges

ratio is 3/15 = 1/5

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• So if you had 3 oranges, then you have 8 oranges and 4 pears = 15 fruits total.

3 oranges to total number 15 of fruit.

A ratio of 1:5 oranges to total.

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