what is the ratio of quarters to nickels in a dollar
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