Question

Elizabeth has 99

coins. Of the
coins, 8/11 are
nickels, 2/11 are
dimes, and the
rest are quarters.
What is the ratio
of Elizabeth's
nickels to dimes
to quarters?​

Answer 1

The ratio of Elizabeth's nickels to dimes to quarters is
`72:18:9`

Explanation:

Let

x -----> the number of nickels

y -----> the number of dimes

z -----> the number of quarters

we know that

`x+y+z=99`

Find the number of nickels

`x=(8)/(11)(99)= 72\ nickels`

Find the number of dimes

`y=(2)/(11)(99)= 18\ dimes`

Find the number of quarters

`z=99-x-y`

substitute

`z=99-72-18=9\ quarters`

therefore

The ratio of Elizabeth's nickels to dimes to quarters is
`72:18:9`