Question

What is the ratio of quarters to nickels in a dollar

Answer 1

5 : 1 is the ratio of quarters to nickels in a dollar.

Explanation:

Using the conversion:

1 quarter = $0.25

1 nickel = $0.05

We have to find the ratio of quarter to nickels in a dollar.

`\frac{\text{1 quarters}}{\text{1 nickel}}`

Using conversion we have;

`(0.25)/(0.05) = (25)/(5)`

Simplify:

`(5)/(1)`

or

5 : 1

Therefore, the ratio of quarters to nickels in a dollar is, 5 : 1

Answer 2

For quarters we have:

`image`

Where,

x: number of quarters

Clearing x we have:

`image`

For nickels we have:

`image`

Where,

y: number of nickels

Clearing y we have:

`image`

Then, the ratio of quarters to nickels is:

`image`

Simplifying we have:

`image`

Answer:

The ratio of quarters to nickels in a dollar is:

`(x)/(y)= (1)/(5)`