The ratio of coins to notes in a bag is 3 to 8. if there are a total 22 items, then how many notes arr there?

The number of coins in the bag  =  6

The number of notes in the bag  =   16

Step-by-step explanation:

The ratio of coins to the notes  = 3: 8

Now, let us assume in the given ratio, the COMMON FACTOR  = m

So, the number of coins in the bag = 3 times (m)  = 3 m

And, , the number of notes in the bag = 8 times (m)  = 8 m

Also, total items in the bag = 22

⇒  Number of (Notes + Coins)  = 22

⇒    3 m  +  8 m = 22

or, 11  m = 22

or, m =  22/ 11  = 2

⇒   m = 2

So, the common factor in the given ratio = 2

So, the number of coins in the bag = 3 m = 3 x  2 = 6

And the number of notes in the bag  =8 x m =  8 x 2  =   16

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