The ratio of the number of apples to the number of oranges is 4: 6. the ratio of the number of oranges to the number of pears is 8: 1. how many apples, oranges and pears are there if there are 172 fruits.

The answer is 64 apples, 96 oranges, and 12 pears.

Let's represent the fruit as following:
a - the number of apples,
o - the number of oranges,
p - the number of pears.


⇒ 
⇒ 


⇒ 
⇒ 

Therefore:


Now, if , then:



Since , 9p can be expressed as 27/3p:


⇒
⇒ p = 12
There are 12 pears.

Since o = 8p, o = 96:
o = 8 × 12 = 96
There are 96 oranges.

Since , a = 64:

There are 64 apples.

Therefore, there are 64 apples, 96 oranges, and 12 pears.