Question

Johnny has a bag with 84 coins in it. If the ratio of dimes to nickels to pennies is 3 to 2 to 1, how many

nickels are in the bag?

Answer 1

28

Explanation:

Number of coins in the bag ⇒ 84

Give that,

Dimes : Nickels : Pennies

3 : 2 : 1

You can see that, there are 6 parts . ( 3 + 2 + 1 = 6 )

And now let us write the types of coins in fractions.

Dimes ⇒
`(3)/(6)`

Nickels ⇒
`(2)/(6)`

Pennies ⇒
`(1)/(6)`

And now they're asking for the number of nickels.

To find that, you can multiply 84 ( number of coins) by it's fraction ( 2/6).

Let us solve.

84 ×
`(2)/(6)`

`(84*2)/(6)`

`(168)/(6)`

28

Therfore, there are 28 nickels.