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?

Mathematics

1 answer:

Alex17521 [72]3 years ago

8 0

Answer:

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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