Question

What is the ratio of quarters to nickels in a dollar

Answer 1

For quarters we have:

$0.25x = 1$

Where,

x: number of quarters

Clearing x we have:

$x = \frac{1}{0.25}\\x = 4$

For nickels we have:

$0.05y = 1$

Where,

y: number of nickels

Clearing y we have:

$y = \frac{1}{0.05}\\y = 20$

Then, the ratio of quarters to nickels is:

$\frac{x}{y}= \frac{4}{20}$

Simplifying we have:

$\frac{x}{y} = \frac{1}{5}$

Answer:

The ratio of quarters to nickels in a dollar is:

$\frac{x}{y}= \frac{1}{5}$

Answer 2

Answer:

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

Step-by-step 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;

$\frac{0.25}{0.05} = \frac{25}{5}$

Simplify:

$\frac{5}{1}$

or

5 : 1

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