Verified Answer :

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:

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